Ten people, including Fred, are in the Jazz Club. They decide to form a 3-person steering committee. How many possible committees could be formed that include

Remember that we are looking for the possible commities that include Fred, so the answer can not be 84 or 120.

In addition to Fred, we could choose any 1 of  the 9 remaining people for the second member of the committee  and then choose any 1 of the 8 remaining for the third member.....so....

8 *  9     =   72  possible committtes that include Fred

@CPhill That was not the correct answer. Try again!

Ah, yes....I see that my answer is incorrect......I need to divide my answer by 2   ....so the correct answer  = 36    ........which is the same as C(9,2)   = 36