Jenny is studying the growth of a particular type of plant. She is testing the effects of three growth factors: lighting, age, and temperature. Here are the levels she's testing for each.
Growth factor Levels
Lighting Low, Medium, High, Very high
Age month, months, months, months, months
Temperature , , ,
She wants to find the number of ways of combining one level from each of the growth factors. How many ways are there?

Answer:

80

Step-by-step explanation:

For these types of counting problems, just multiply all of the levels.

For example, this would be

4 choices

5 choices

4 choices

Multiply 4*5*4, and you get 80.

Total number of ways of combining one level from each of the growth factors is equals to 80.

" As per fundamental principle of counting if first event has 'm' number of possible outcomes , second has 'n' number of possible outcomes then total number of ways are m× n ."

According to the question,

Number of growth factors =3

First growth factor: Lightening

Second growth factor: Age

Third growth factor : Temperature

As per the data given we have,

Number of levels in lightening 'm'= 4

Number of levels in age 'n'= 5

Number of levels in temperature 'p' =4

Substitute the value as per the definition of fundamental principle of counting

Total number of ways = m × n × p

                                     = 4 × 5 × 4

                                     = 80 ways

Hence, total number of ways of combining one level from each of the growth factors is equals to 80ways.

Learn more about fundamental principle of counting here

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