Question

Refer to the data and answer the question that follow. 
Five couples, Bansals, Kansals, Singhals, Sharmas and Khannas go for dinner. They want to sit around a round table. If the couples want to sit together, number of ways in which they can sit around the table is.

Options

• `10/(2^5)`

• `(9!)/2^5`

• `(4!)2^5`

• `9!2^5`

Answer 1

`(4!)2^5`
Explanation:
If the couples want to sit together, there are 5 pairs.
5 pairs can sit around a table in (5 -1)! ways.
Each couple can sit together in 2 ways
∴ Required Number of ways = `(4!)2^5`