question 2

A chairperson and committee of k members are to be selected from 71 people. (a) Once the chairperson is choosen, in how many ways can a committee of size I: be selected ? (b) Show that if k is unrestricted, the total number of committees is \"2321 [HINTzInclude the Chairperson then use the binomial theorem with k = O, 1, 2, . . . ] (c) Argue that the selection procedure 22:1 33(2) gives the same result as part (b) [ HINT:Provide a word description. You do NOT need to show this algebraically ]