Respuesta :

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

Answer:

[tex]^{35}C_6[/tex]

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 : [tex]^nC_r=\frac{n!}{r!(n-r)!}[/tex]

Since we are given that total members are 35

So, n =35

No. of members in a group = 6

So, r =6

So,  [tex]^{35}C_6=\frac{35!}{6!(35-6)!}[/tex]

Thus expression represents the number of ways a group of 6 members can be chosen to do a special performance is  [tex]^{35}C_6[/tex]