Statistic question Midterm review

A chairperson and committee of k: members are to be selected from n people. (a) Once the chairperson is choosen, in how many ways can a committee of size k be selected ? (b) Show that if k is unrestricted, the total number of committees is n2\"'1 [HINTzInclude the Chairperson then use the binomial theorem with k : 0, 1, 2, . . _ ] (c) Argue that the selection procedure 22:1 53(2) gives the same result as part (b) [ HINT:Provide a word description. You do NOT need to show this algebraically ]