# SOLUTION: a club with 10 members is to pick a president, vice president, treasurer, and secretary. If each office is to be held by one person and no person can hold 1 offices, in how many wa

Algebra ->  Algebra  -> Permutations -> SOLUTION: a club with 10 members is to pick a president, vice president, treasurer, and secretary. If each office is to be held by one person and no person can hold 1 offices, in how many wa      Log On

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 Algebra: Combinatorics and Permutations Solvers Lessons Answers archive Quiz In Depth

 Question 332800: a club with 10 members is to pick a president, vice president, treasurer, and secretary. If each office is to be held by one person and no person can hold 1 offices, in how many ways can those offices be filled? Answer by jrfrunner(365)   (Show Source): You can put this solution on YOUR website!a club with 10 members is to pick a president, vice president, treasurer, and secretary. If each office is to be held by one person and no person can hold 1 offices, in how many ways can those offices be filled? == I think you must of meant "..no person can hold 'more than' 1 office..." This is the case of the number of "different" ways to select 4 items out of 10. where the order matters (who holds the president office matters) and no repetition is allowed. This is a permutation problem -- so there are 10 choices for president then after that there are 9 choices for VP then afte P and VP there are 8 choices for Treasurer and finally after P, VP and T, there are 7 choices left for Secretary. So the number of ways to fill those offices with 10 candidates is