Question

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

Answer 1

15.

Explanation:

Please consider the complete question.

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?

We will use combinations formula to solve our given problem.

The number of combination of n terms r terms chosen at a time is given by formula:

`C(n,r)=(n!)/(r!(n-r)!)`

`C(6,2)=(6!)/(2!(6-2)!)`

`C(6,2)=(6*5*4!)/(2*1*4!)`

`C(6,2)=(6*5)/(2)`

`C(6,2)=3*5`

`C(6,2)=15`

Therefore, there are 15 different groups of essays could you possibly choose.