A hospital has four members on the board of directors: Arnold, Benitez, Cathy, and Dominique.

(a) When the members vote on whether to add a wing to the hospital, how many different ways can they vote (abstentions are not allowed)? For example, Arnold— yes, Benitez—no, Cathy—no, and Dominique—yes is one of the many possibilities.

(b) Make a listing of all the possible outcomes of the vote. For example, the vote described in part (a) could be represented as (YNNY).

(c) How many of the outcomes given in part (b) would result in a majority supporting the addition of a wing to the hospital? That is, how many of the outcomes have three or more Y’s?