A club has 28 members, and 6 members must be selected to make a committee.
a) Of the 28 members, 15 are men and the rest are women. How many ways can the 6 member committee can be selected if there are to be 4 men and 2 women on the committee?
b) How many different ways can the committee be selected if one person must be the chairman and another person must be a secretary/treasurer. ( the other 4 persons on the committee do not hold any titles).
c) How many different ways can the committee be selected if 3 members are to be automatically included in the committee?
d) How many different ways can the committee be selected if 4 of the members can't be on the committee?
Please understand the difference between permutations and combinations first. While the former denotes the order of arranging things, the latter only denotes the ...
The expert examines selecting members of committees.