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

Answer:

15.

Step-by-step 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:

$C(n,r)=\frac{n!}{r!(n-r)!}$

$C(6,2)=\frac{6!}{2!(6-2)!}$

$C(6,2)=\frac{6*5*4!}{2*1*4!}$

$C(6,2)=\frac{6*5}{2}$

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

$C(6,2)=15$

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