Question

A researcher randomly selects 2 fish from among 10 fish in a tank and puts each of the 2 selected fish into different containers. How many ways can this be done

Answer 1

Using the combination formula, it is found that this can be done in 45 ways.

The order in which the fish are chosen is not important, hence the combination formula is used to solve this question.

What is the combination formula?

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by:

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this problem, 2 fish are chosen from a set of 10, hence:

$C_{10,2} = \frac{10!}{2!(10-2)!} = 45$

Thus, the fish can be chosen in 45 ways.

You can learn more about the combination formula at https://brainly.com/question/25821700