Question

How many ways are there if, in part (a), the collection should include exactly two different kinds of fruit?

a. 1
b. 2
c. 3
d. 4

Answer 1

The number of ways to include exactly two different kinds of fruit in a collection can be calculated using combinatorics.

Step-by-step explanation:

To find the number of ways to include exactly two different kinds of fruit in a collection, we can use combinatorics. Let's say there are 'n' total kinds of fruit. We need to choose two of them. This can be done in n-choose-2 ways, which can be calculated using the formula n! / [(n-2)! * 2!].

For example, if there are 4 kinds of fruit, the number of ways to include exactly two different kinds of fruit would be 4! / [(4-2)! * 2!] = 6.

So, the correct answer to this question is option c. 3.