+948 A baking club wants to form an executive committee. There are $15$ people in the baking club, including Mark. In how many ways can the baking club form an executive committee with $2$ people, not including Mark?
+1233
A baking club wants to form an executive committee. There are $15$ people in the baking club, including Mark. In how many ways can the baking club form an executive committee with $2$ people, not including Mark?
That depends. If the two members have different ranks or titles, then there are 14P2 = 182 ways.
This way would mean that a pair of members like Jesse and Frank is different from Frank and Jesse.
If the two members are untitled and otherwise indistinguishable, then there are 14C2 = 91 ways.
This way would mean that a pair of members like Jesse and Frank is the same as Frank and Jesse.
.
