Question

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

• A. $2400$
• B. $2520$
• C. $2880$
• D. $3040$

Answer 1

Answer: (C)

$2880$

We can fix a boy and then arrange the rest in $4!=24$ ways.
The girls will sit between the boys.

There are $5$ seats for $5$ girls. They can be arranged in $5!=120$ ways.
Thus, answer = $24\times 120=2880$
Hence (C) is correct.