Serial numbers for a product are to be made using 2 letters followed by 3 digits. The letters are to be taken from the first 6 letters of the alphabet, with no repeats. The digits are taken from the 10 digits 0, 1, 2, ..., 9, with no repeats. How many serial numbers can be generated?

Answers

Answer 1
Answer:  21600

==========================================================

Explanation:

There are 6 letters to pick from {A,B,C,D,E,F} and we have two slots to fill, where no repeats are allowed. This means we have 6*5 = 30 different ways to pick two letters.

There are 10 digits to pick from {0,1,2,...,9} and there are 3 slots to fill. This gives 10*9*8 = 720 different permutations for this portion.

Overall, we have 30*720 = 21600 different serial numbers possible.


Related Questions

Help help it’s geometry I need help

Answers

Answer: X = 57.5

Step-by-step explanation:

3x - 65 + x + 15 = 180

4x - 50 = 180

4x = 230

x = 57.5

Answer:

3x-65 degrees

Step-by-step explanation:

Since the angles are vertical angles, y should equal the same value of the corresponding angle.

Input
х
Output
Y
1
0
1
A
5
B
31
с
46
D
25
76

Answers

Answer: 46

Step-by-step explanation:

Yes !!

What is the point slope form for (2,0)(4,6)

Answers

Answer:

0-y=3/4(x-2)

Step-by-step explanation:

There are 15 members of the show choir. In how many different ways can you arrange any 8 members in the front row? Show work. I will give brainliest!

Answers

Answer:

259,459,200 ways.

Step-by-step explanation:

That is the number of permutations of 8 from 15.

= 15! / 15-8!

= 15! / 7!

= 15*14*13*12*11*10*9*8

= 259459200

This scatter plot shows the height of a card tower and time in minutes used to build it. Based on the information in the scatter plot, what is the best prediction for the height of a card tower at 10 minutes?
A 3 inches
B 5 inches
C 7 inches
D 8 inches​

Answers

It would have to be 5 inches

The required measure of the height of the card tower at time 10 minutes is 5 inches. option B is correct.

Given that,
This scatters plot shows the height of a card tower and time in minutes used to build it. Based on the information in the scatter plot,

What are Scatter plots?

A scatter plot is a collection of points plotted on two axes, horizontal and vertical. Scatter plots are useful in statistics because they illustrate the extent, if any, of correlation between the values of observed quantities or phenomena (called variables).

Here,
From the graph, the measure of the height of the card tower at time 10 minutes is to be more than 5, Following the greatest integer function the measure of the card tower is given as 5 inches.

Thus, the required measure of the height of the card tower at time 10 minutes is 5 inches. option B is correct.

Learn more about scatter plots here: https://brainly.com/question/29231735
#SPJ5

what does x equal?

4x+7=31

Answers

The answer is x=6 !!!!

Answer:

x = 6

Step-by-step explanation:

First, subtract 7 from both sides to get x alone. That will give you 4x = 24 .

Then divide both sides by 4 to remove the coefficient of x. That means x = 6.

4x+7=31

    -7   -7

4x=24

÷4   ÷4

x  =  6

Help please it’s supposed to be turned in

Answers

Answer:

30 i believe

Step-by-step explanation:

hope this helps. i say 30 because thats the only common multiple in those numbers :P

Find all solutions in the interval [0, 2π) for 2 sin^2 x = sin x






Option A: x = pi divided by three., two pi divided by three.

Option B: x = pi divided by two, three pi divided by two., pi divided by three., two pi divided by three.

Option C: x = 0, π, pi divided by six, five pi divided by six

Option D: x = pi divided by six, five pi divided by six

(Will mark brainliest)

Answers

Answer:

D

Step-by-step explanation:

2 sin²x=sin x

2 sin² x-sin x=0

sin x(2 sin x-1)=0

sin x=0

x=0,π

2 sin x-1=0

2 sin x=1

sin x=1/2= sin π/6,sin (π-π/6)

x=π/6,5π/6

help lol i need good help-

Answers

Answer:

with what

Step-by-step explanation:

what are the missing angles?

Answers

Can we get a picture?

Is chewing gum independent of having a cavity filled recently?

A.

B.

C.

D.

Answers

Answer:

did you figure out the answer I'm sorry they don't have a comment section on ur photo

Answer:

P(Gum) ≠ P(Gum/Cavity)

Step-by-step explanation:

Answer on Edge

Is the answer 6 or 36 need help. The volume of a rectangular prism is 216. It's square base has sides that are 6. What is the height of the rectangular prism?

Answers

36

because you add 36 6 times so 36×6= 216

Answer:

Well, 216 divided by 6 is 36,so...

Step-by-step explanation:

(b) 25% of what number is 17?

Answers

Answer:

68

Step-by-step explanation:

derive that 25 percent of 68 equals 17.

Answer:

25 percent of 68 equals 17.

Step-by-step explanation:

Please help
multiple choice
picture included
will appreciate it if you help!

Answers

Answer:

D

Step-by-step explanation:

The quotient of 2 and n is 2/n, not n/2, and if it's at most 6 that means it can equal 6 but can't go above it, so it's less than or equal to six. Hope this helped!

Lisa is a hairdresser. A cut and color is $85. If her customer gives her a 15% tip on the total cost, how much of a tip would Lisa get?

Answers

Answer:

$12.75 I think

Step-by-step explanation:

Answer:

Lisa got a total tip of $12.75.

Step-by-step explanation:

To answer this question, we just need to find 15% if $85.

85 x 0.15 = 12.75

This means, Lisa got a total tip of $12.75.

Hope this helps! :D

PLEASE HELP!! DUE TODAY!!!!!

Answers

Answer:

i'm not good at algebra but i think it's  5

Step-by-step explanation:

answer the following correctly

Answers

Answer:

[tex] y = -\frac{10}{3}x - 23 [/tex]

Step-by-step explanation:

Find slope (m) using of the line that passes through (-9, 7) and (-6, -3).

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-3 - 7}{-6 -(-9)} = \frac{-10}{3} = -\frac{10}{3} [/tex]

Find y-intercept (b) by substituting m = -10/3, x = -6, and y = -3 in y = mx + b.

Thus:

-3 = (-10/3)(-6) + b

-3 = 20 + b

Subtract 20 from each side

-23 = b

b = -23

substitute m = -10/3, and b = -23 in y = mx + b, to get the equation.

The equation of the line would be:

✅ [tex] y = -\frac{10}{3}x + (-23) [/tex]

[tex] y = -\frac{10}{3}x - 23 [/tex]

The number that represent the parts per 100 is called the part

Answers

Answer: Is their a graph or something that goes with this. I dont understand.

Step-by-step explanation:

Answer:

What do you want to find?

Step-by-step explanation:

I don't understand...

Add more details and then I'll answer

use the distributive property to find the answer to 21 x 4

Answers

Answer:

21(4)

Step-by-step explanation:

=84 that's all u have to do

Marcus graphed a point on the number line. A number line going from 0 to 1 with 8 equal spaces between 0 and 1. A point is marked on the line half-way between 0 and 1. What fractions did he graph? Check all that apply.

Answers

Answer:

A,C,D

Step-by-step explanation:

I got it right :D

The radius of a sphere is increasing at a constant rate of 7 feet per second. At the instant when the volume of the sphere is 274 cubic feet, what is the rate of change of the volume? The volume of a sphere can be found with the equation V=4/3π(r)^3. Round your answer to three decimal places.

Answers

ok so radius round the answer

Elena has a pet parakeet that weighs 6 when measured in one unit and 170 when measured in a different unit. Which measurement is in ounces, and which is in grams? 6__________170______

Answers

Given:

Elena has a pet parakeet that weighs 6 when measured in one unit and 170 when measured in a different unit.

6__________ = 170______

To find:

The correct units from grams and ounces for these blanks.

Solution:

We know that, 1 ounce is greater than 1 gram.

1 ounce = 28.3495 grams

Multiply both sides by 6.

6 ounces = 170.097 grams

Approximate the values to the nearest whole number.

6 ounces = 170 grams

Therefore, 6 ounces = 170 grams.

9/10 of alien races think invading Earth is a bad idea.

What percentage of alien races think invading Earth is a bad idea?

____%

Answers

90 % because it is 9/10
90% of Alien races think invading earth is a bad idea .

What is proportional reasoning and how does it help you solve percent equations?

Answers

Answer:

We can't set up a proportion to solve for x in a percent equation. For example,   34/100=5/x

Step-by-step explanation:

8.A wedding venue holds no more than 485 guests. If 319 people have said they are attending, how many more people does the venue have room for?

Answers

Answer:

They have room for 166 more people.

Step-by-step explanation:

485 - 319 = 166

Answer:

166 people.

Step-by-step explanation:

If there is room for 485 and 319 people are coming, just subtract. 485-319=166.

What value(s) of b will cause 3x2 + bx + 3 = 0 to have one real solution? Select all that apply.
b = –6
B.b = –9
C.b = 6
D.b = 9

Answers

Answer:  -6 and 6

Step-by-step explanation:  

Possible factors that could produce 3x² + 6x +3 are  (x + 1)(3x + 3)

the solution for values of x: x+1=0, x= -1  3x+3=0,  3x= -3 . x= -1 . Same.

Possible factors that could produce 3x² - 6x +3 are  (x - 1)(3x - 3)

the solution for values of x: x-1=0, x= 1  3x-3=0,  3x= 3 . x= 1 . Same.

From the attached graph of the possible equations, you can see that 9 and -9 won't produce ONE real solution. They each have "zeros" at two points on the x-axis. That is two solutions that would make x = 0.

The equations with -6 and +6 each touch the x-axis at only one point each.

please answer fast :(((

Answers

Answer:

KP = 6

Step-by-step explanation:

From the information given, K is the centroid.

Therefore, based in the centroid theorem:

KP = ⅓(AP)

AP = 18

Plug in the value of AP into the equation

KP = ⅓(18)

KP = 6

Find the value of the power 6 to the -4th

Answers

Answer:

6 to the -4th is 7.716 x 10^-4

Step-by-step explanation:

Simplify (W^4)^4 without parentheses

Answers

Answer:

w^16

Step-by-step explanation:

you have to multiply the exponents when this happens so 4*4=16

Solve the inequality​

Answers

Answer:

x<2

Step-by-step explanation:

5x+10>14x-8

18>9x

2>x

x < 2 hope that helps
Other Questions
Whats the absolute value of 5/6? Here are 5 steps to moving from a motif to a theme statement: which is the correct order? 1: Think hard about what the author might be saying about that motif. 2: Think of a question about the motif. 3: Choose an interesting motif. 4: Try to say that idea as a theme. 5: Go back to moments where you saw that motif, with that question in mind. CAN SOMEONE HELP ME PLS Line t has slope 3 and passes through (0, 0). Follow these steps:Step 1: Start at (0, 0)Step 2: Move right 8 units It is the typical cartoon scene: Popeye off sailing or toting a sledgehammer doing whatever Popeye does to make a living, while Olive Oyl, who does not have a job, lounges around. I ask the question: Why are women in cartoons constantly in need of male rescue? Ultimately, women should be able to stand on their own without the assistance of a man.Which sentence states the argument? WHAT in the valuE of 3n=1 when n=4? Find the equation of the linear relationship PLS HELP I ONLY HAVE 30 MINSQuestion 5 (4 points)(04.02)Determine whether the graph represents a proportional relationship. (4 points)A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 10. Four points are shown on the graph on ordered pairs 0, 0 and 1, 3 and 2, 6 and 3, 7. These points are joined by a line. The label on the x-axis is Number of pans. The title on the y-axis is Number of cakes. aYes, it is a proportional relationship because the graph goes through the origin bYes, it is a proportional relationship because the graph is a straight line cNo, it is not a proportional relationship because the graph is not a straight line dNo, it is not a proportional relationship because the graph does not go through the origin Ill give Brainliest!!! PLease THIS IS MY LAST QUESTION, I HAVE 5 MINUTES LEFT!!! The argument that industries should be temporarily protected by tariffs or quotas to allow firms to develop a competitive product is called the:_________ a) antidumping argument. b) competitive relief argument. c) countervailing duty argument. d) infant industry argument. Identify the error in the sentence.I'm so incredibly tired; because I didn't sleep well last night.a.I'mc.;b.incrediblyd.didn'tPlease select the best answer from the choices provided BRAINLIEST:in which month is a hurricane most likely to occur: October or December? explain Find the slope of the line (-4,4) (-3,-2) How was the Periodic Table of Elements developed and how are the elements arranged on it? Beginning in the 1830s, what did members of the Womens Rights Movement protest for? In the Solving a Public Health Problem module, Tracey McNamara, Debbie Asnis, and Annie Fine are all doctors in New York City. One works for a zoo, one for a hospital, and one for the city's department of health. How is what they do similar? What are the "Civil War" amendments and what did they do? could you help me with this What caused the 17th amendment Which answer has the correct order of good morning, good afternoon and good evening?O buenos das, buenas noches, buenas tardesbuenas tardes, buenas noches, buenos dasO buenos das, buenas tardes, buenas nochesO buenas noches, buenos das, buenas tardes