The number of ways of combining different growth factors to form a level is 80.
What is Permutation?
The act of organizing all the components of a set into some sequence or order is known as permutation. Permuting, in other words, is the act of reordering the components of a set that has previously been sorted.
A permutation is the selection of r items from a collection of n items without replacement, with the order of the items being significant.
nPr = (n!) / (n-r)!
What is a Combination?
The combination is a method of picking elements from a collection in which the order of selection is irrelevant (unlike permutations).
A combination is a selection of r items from a collection of n items with no replacements and no regard for order.
nCr = (n!)/{(r!)((n-r)!)}
How do we solve the given question?
We are given that 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: 1 month, 2 months, 3 months, 4 months, 5 months.
Temperature: 20°, 22°, 24°, 26°.
We are asked to find the number of ways in which she can combine different levels to form one level.
We first check the number of combinations for each factor and then multiply them all to get the total number of ways possible.
Lighting: 4 (∵ All the 4 levels are possible, so the combinations are 4P1 = 4).
Age: 5 (∵ All the 5 levels are possible, so the combinations are 5P1 = 5).
Temperature: 4 (∵ All the 4 levels are possible, so the combinations are 4P1 =4).
∴ Total number of ways of combining different growth factors to form a level = 4*5*4 = 80
∴ The number of ways of combining different growth factors to form a level is 80.
Learn more about permutations and combinations at
brainly.com/question/4658834
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