In how many different ways can 5 girls and 4 boys form a circle such that the boys and the girls alternate?  Choose one:
A) 576
B) 425
C) 215
D) 321
E) None of these
Explanation :   In a circle, 5 boys can be arranged in 4! ways   Given that the boys and the girls alternate.   Hence there are 4 places for girls which can be arranged in 4! ways   Total number of ways = 4! x 4! = 24 x 24 = 576. 576nswer : Option 576
<result>A</result>
In how many different ways can 5 girls and 4 boys form a circle such that the boys and the girls alternate?