Question

There are 8 different types of chips at Subway How many different ways can you choose 2 of them?

Answer 1

We have been given that there are 8 different types of chips at Subway. We are asked to find the number of different ways to choose 2 of them.

We will use combinations to solve our given problem.

Number of combinations of r objects chosen from n objects is given by $C(n,r)=\frac{n!}{r!(n-r)!}$

$C(8,2)=\frac{8!}{2!(8-2)!}$

$C(8,2)=\frac{8\cdot 7\cdot 6!}{2\cdot 1\cdot 6!}$

$C(8,2)=\frac{8\cdot 7}{2}$

$C(8,2)=4\cdot 7$

$C(8,2)=28$

Therefore, you can choose 2 of them in 28 different ways.