Q.

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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a

2880

b

2888

c

28809

d

None

answer is A.

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Detailed Solution

 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 between two boys these five places can be filled by 5 girls in 5 ! ways.

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Hence, by the principle of multiplication, the required number of ways =4!×5!=2880.

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