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

To determine the number of different possible vote totals, let's consider the number of votes each candidate can receive.

Since each member can either vote for one of the 4 candidates or abstain from voting, there are 5 possible options for each member: Candidate A, Candidate B, Candidate C, Candidate D, or abstain.

For the first club member, there are 5 possible options for their vote. Similarly, for the second member, there are also 5 options, and so on.

To find the total number of different possible vote totals, we need to multiply the number of options for each member together. Since there are 50 club members, the total number of possible vote totals is:

5 x 5 x 5 x... (50 times) = 5^50

Therefore, there are 5^50 different possible vote totals for the 50 club members.

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