Question

the chorus has 35 members. which expression represents the number of ways a group of 6 members can be chosen to do a special performance?

Answer 1

You have to choose
`6` members from the group of
`35` people. So there are
`\binom{35}{6}` ways to do it.

Answer 2

`^(35)C_6`

Explanation:

Given : The chorus has 35 members.

To Find: which expression represents the number of ways a group of 6 members can be chosen to do a special performance?

Solution:

We will use combination to find the number of ways a group of 6 members can be chosen to do a special performance .

So, Formula :
`^nC_r=(n!)/(r!(n-r)!)`

Since we are given that total members are 35

So, n =35

No. of members in a group = 6

So, r =6

So,
`^(35)C_6=(35!)/(6!(35-6)!)`

Thus expression represents the number of ways a group of 6 members can be chosen to do a special performance is
`^(35)C_6`