Question
Mathematics Question on Permutations and Combinations
A company CEO invited nine persons for a business meeting, where the host will be seated at a circular table. How many different arrangements are possible if two invitees X and Y be seated on either side of the host CEO?
A
10080
B
10800
C
9200
D
4600
Answer
10080
Explanation
Solution
Number of persons in the meeting = 9 + 1(host) = 10 persons
Except X, Y and the host the number of ways the other 7 persons are arranged = 7!
Now, X and Y can be seated on either side of the host i.e. in 2 ways.
Total number of ways = 7! x 2 = 10080
Hence, option A is the correct answer.The correct option is (A): 10080