All in all there are 10 candidates for the President, 9 Vice Presidents and 64 senators for the upcoming elections and 1 president, 1 Vice President and 12 senators are needed. 1. How many ways can you select a president, vice president, and 12 senators this election? 2. How many ways can you select the set of new officials this year? 3. If the position for President and Vice President already taken, how many ways can you select the senators? $ \binom{n}{r} = \frac{n!}{r!(n-r)!} $ Using this equation
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So, we have 10 candidates for President and 9 candidates for Vice President. The number of ways to select the President and Vice President is given by the formula nPr, where n is the number of candidates and r is the number of positions to be filled. In this case, Show more…
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