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In how many different ways can five boys...

In how many different ways can five boys and five girls form a circle such that the boys and girls alternate?

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After fixing up one boy on the table, the remaining can be arranged in 4! Ways but boys and girls are to alternate. There will be 5 places, one place each betweenn two boys these five places can be filled by 5 girls in 5! Ways.

Hence, by the principal of multiplication, the required number of ways`=4!xx5!=2880`.
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ARIHANT MATHS-PERMUTATIONS AND COMBINATIONS -Exercise (Questions Asked In Previous 13 Years Exam)
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  17. Let n denote the number of all n-digit positive integers formed by the...

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  18. Let a(n) denote the number of all n-digit numbers formed by the digits...

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  19. Assuming the balls to be identical except for difference in colours, t...

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  20. Let Tn be the number of all possible triangles formed by joining ve...

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