On a ballot, the candidates for each office are listed together under the office for which they are running. In an election with 66 candidates for one office and 55 candidates for another office, how many different versions of the ballot are possible?

Question

Mathematics

Lesly Holland

21 July, 14:25

On a ballot, the candidates for each office are listed together under the office for which they are running. In an election with 66 candidates for one office and 55 candidates for another office, how many different versions of the ballot are possible?

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Answers (1)

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Sophie Cobb · Answer 1

30 ballots are possible

Step-by-step explanation:

In an election with 6 candidates for one office and 5 candidates for another office

If we select 1 candidate for one office, there are possibilities of selecting 5 candidates for another office

If we select 2nd candidate for one office, there are possibilities of selecting 5 candidates for another office

So to get number of different versions of ballots possible, multiply the candidates

6 times 5 = 30

So 30 ballots are possible