Question

Kala is studying the growth of a particular type of plant. She is testing the effects of four growth factors: lighting, age, temperature, and humidity. Here are the levels she's testing for each.Growth factor Levels Lighting None, Low, Medium, High, Very high Age 1 month, 2 months, 3 months, 4 months, 5 months Temperature 20c, 22c , 24c , Humidity Low, Medium, High She wants to find the number of ways of combining one level from each of the growth factors. How many ways are there?

Answer 1

Given: Kala is studying the growth of a particular type of plant. She is testing the effects of four growth factors: lighting, age, temperature, and humidity. Here are the levels she's testing for each.

Growth factor Levels

Lighting None, Low, Medium, High, Very high

Age 1 month, 2 months, 3 months, 4 months, 5 months

Temperature 20c, 22c , 24c ,

Humidity Low, Medium, High

Required: Number of ways of combining one level from each of the growth factors.

Step-by-step explanation:

There are 4 growth factors, and each factor has some levles of testing.

Number of levels of lightening = 5

Number of levels of age = 5

Number of levels of temperature = 3

Number of levels of humidity = 3

Since one level from each of the growth factors are needed from the total level.

First factor can be selected in 5 ways.

Second in 5, third in 3 and fourth in 3.

So total number of ways will be

`5*5*3*3=225`

Final Answer: Total number of ways of combining one level from each growth factor are 225.