Multiple Choice An organization is electing 3 new board members by approval voting
MATHEMATICS · Single correct · CBSE · Mathematics · Permutations and Combinations · Permutations and Combinations
Problem
48. Multiple Choice An organization is electing 3 new board members by approval voting. Members are given ballots with the names of 5 candidates and are allowed to check off the names of all candidates whom they would approve (which could be none, or even all five). The three candidates with the most checks overall are elected. In how many different ways can a member fill out the ballot?
(A) 10
(B) 20
(C) 32
(D) 125
(E) 243