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In how many ways five boys and five girls can stand in a circle when boys and girls standing one by one?
1. 2880
2. 2480
3. 2280
4. 2780

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Correct Answer - Option 1 : 2880

Calculation:

If we fix a girl, then the rest 4 girls can be arranged in the ways = 4!

There is 1 position between each pair of girl, which means only 5 positions are there.

Ways to arrange 5 boys in those 5 position will be = 5!

∴  The total number of ways N = 5! × 4!

N = 120 × 24

N = 2880 ways

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