A committee consists of 20 persons,in how many ways can the members sist around a circular table so that the chairman sits between the secretary and the treasurer?
in Statistics Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

Best answer

There are two ways for the secretary (S) to sit between the chairman (C) and treasurer (T): CST and TSC. The remaining 17 committee members can arrange themselves 17! ways (3.557*10^14 approx), because, if we place one member out of the 17 in a particular position, there are 16 places left for the next member, then 15, and so on. So the total number is 17*16*15*...*1=17! (17 factorial). We need to double this for all 20 persons because there are two ways for C, S and T. Then, we need to allow for the round table, so that's another factor of 20. In all then, we have 40*17!=1.4227*10^16 approx.

by Top Rated User (610k points)

Related questions

Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
82,168 questions
86,659 answers
76,260 users