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

`C(8,2)=(8!)/(2!(8-2)!)`

`C(8,2)=(8\cdot 7\cdot 6!)/(2\cdot 1\cdot 6!)`

`C(8,2)=(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.