Verified Answer :

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

Answer:

\(^{35}C_6\)

Step-by-step 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 : \(^nC_r=\frac{n!}{r!(n-r)!}\)

Since we are given that total members are 35

So, n =35

No. of members in a group = 6

So, r =6

So,  \(^{35}C_6=\frac{35!}{6!(35-6)!}\)

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

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