In how many different ways can 3 girls and 3 boys form a circle such that the boys and the girls alternate?  Answers:
A) 15
B) 12
C) 17
D) 20
E) None of these
Explanation :   In a circle, 3 boys can be arranged in 2! ways   Given that the boys and the girls alternate.   Hence there are 3 places for girls which can be arranged in 3! ways   Total number of ways = 2! x 3! = 2 x 6= 12. Answer : Option 12
<result>B</result>
In how many different ways can 3 girls and 3 boys form a circle such that the boys and the girls alternate?