Question

For the following, consider a certain college’s Student Government, and show all of your reasoning in addition to giving a numeric answer. Leave your answer numerically unsimplified but in “factorial form”: The Student Government executive Board contains the board President plus 3 Vice President (VP) roles: Executive VP, VP of Administration, and VP of Finance.

Suppose 7 students run for President, and 15 other students compete for any of the 3 Vice President roles. How many different ways can these positions be filled?

Answer 1