A certain club has $50$ people, and $4$ members are running for president. Each club member votes for one of the $4$ candidates. How many different possible vote totals are there?

The number of different possible vote totals is 184.

Step-by-step explanation:

It is provided that there are N = 50 people in a club.

The position of President is open. And there are x = 4 members running for he post of President.

So, there are n = N - x = 50 - 4 = 46 people voting for these 4 members.

Each member of the club has x = 4 possible choices.

So, the number of different possible vote totals are:

Number of different possible votes = n * x

= 46 * 4

= 184

Thus, the number of different possible vote totals is 184.