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

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  $^{35}C_6$

Answer 2

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