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3 married couples have bought 6 seats in the same row for a talent show. In how many different ways can they be seated if all men sit together to the right of all women?


1. 36
2. 40
3. 32
4. 44

1 Answer

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Best answer
Correct Answer - Option 1 : 36

Given:                             

3 married couples have bought 6 seats in the same row for a talent show.

Formula used:

n! = n × (n – 1) × (n – 2) ……………………….3 × 2 × 1

Calculation:

The guys all sit first, but they have to take up 3 spaces.

Assuming we're dealing with male-female married couples here

The men have 3! ways of sitting, as do the women

Total=

⇒ 3! × 3!

⇒ (3!)2

⇒ (6)2

⇒ 36

Different ways can they be seated if all men sit together to the right of all women is 36.

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