You have to answer 2 essay questions for an exam. There are 6 essays to choose from. How many different groups of 2 essays could you possibly choose?

Answer:

You could possibly choose 15 different groups of 2 essays.

Step-by-step explanation:

The order in which the questions are chosen is not important. So the combinations formula is used to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, we have that:

2 essays from a set of 6. So

[tex]C_{6,2} = \frac{6!}{2!(6-2)!} = 15[/tex]

You could possibly choose 15 different groups of 2 essays.