Challenge Problem/Group Activity
60. Hospital Expansion 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.

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ogorwyne ogorwyne · Answer 1 · 2022-08-25T15:16:58+02:00

The different ways that they can vote is given as 16 different ways.

The question say that there are a total of 4 members of the board. Out of these 4, we have the choices as yes or a no.

This tells us that each person only has 2 choices of what they want.

Hence given that the board members ar 4, we would have 2⁴

= 2 * 2 * 2 * 2

= 16

Hence the different ways that they can all vote is 16.

Read more on permutations and combinations here:

https://brainly.com/question/4658834

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