A club with fourteen members is to choose three officers: president, vice-president, and secretary-treasur

Question

A club with fourteen members is to choose three​ officers: ​ president, vice-president, and​ secretary-treasurer. If each office is to be held by one person and no person can hold more than one​ office, in how many ways can those offices be​ filled?

GPT-5 mini · Answer

We need an ordered selection of 3 distinct people from 14 (president, vice-president, secretary-treasurer), so the count is P(14,3) = 14 × 13 × 12 = 2,184.

A club with fourteen members is to choose three officers: president, vice-president, and secretary-treasurer. If each office is to be held by one person and no person can hold more than one office, in how many ways can those offices be filled?

All Answers 1

Submit Your Answer

A club with fourteen members is to choose three​ officers: ​ president, vice-president, and​ secretary-treasurer. If each office is to be held by one person and no person can hold more than one​ office, in how many ways can those offices be​ filled?

All Answers 1

Submit Your Answer

A club with fourteen members is to choose three officers: president, vice-president, and secretary-treasurer. If each office is to be held by one person and no person can hold more than one office, in how many ways can those offices be filled?