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Five Couples, Bansals, Kansals, Singhals, Sharmas and Khannas Go for Dinner. They Want to Sit Around a Round Table. 8. If the Couples Want to Sit Together, Number of Ways in Which They Can Sit Around - Mathematics

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MCQ

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`

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Solution

`(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`

Concept: Permutation and Combination (Entrance Exam)
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