How many possible ways are there of seating seven people P,Q,R,S,T,U and V at a circular table

Assessment: JAMB UTME - Mathematics - 2005 Subject: General Mathematics

Question 1 Report

How many possible ways are there of seating seven people P,Q,R,S,T,U and V at a circular table
Answer Details
To find the number of possible ways to seat seven people P,Q,R,S,T,U, and V at a circular table, we can use the formula (n-1)!, where n is the number of people. Since the people are seated at a circular table, we need to use circular permutations. A circular permutation is where the order of the arrangement matters, but rotations of the same arrangement are considered the same. In other words, if we rotate a circular arrangement, it is still considered the same arrangement. Using the formula for circular permutations, the number of ways to seat seven people at a circular table is (7-1)! = 6!, which is equal to 720. Therefore, there are 720 possible ways to seat seven people P,Q,R,S,T,U, and V at a circular table. "720," is the correct answer.

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