Question

In how many ways can 5 persons be seated at a round table so that two particular persons will be together?

• A. 12
• B. 120
• C. 720
• D. 180

Answer 1

The correct option is A 12

The number of ways in which n number of people can arrange themselves at a round table is (n-1)! ways. The number of ways in which 5 people can arrange themselves at a round table is 4! ways. But considering 2 persons a single unit, the number of ways in which 5 people can arrange themselves at a round table is 3! ways. Now those two people can arrange themselves in 2! ways. So the answer will be 3! * 2! = 12 ways.