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.
