Question

In how many different ways can 5 girls and 5 boys form a circle such that the boys and the girls alternate?

Options
1) 2880
2) 1400
3) 1200
4) 3212; In how many different ways can 5 girls and 5 boys form a circle such that the boys and the girls alternate?; Options; 1) 2880; 2) 1400; 3) 1200; 4) 3212

Answer 1

First arrange 5 boys in (5-1)! ways i. e 24 ways and there are 5 gaps and 5 girls can sit in 5! Ways i.e 120 ways

Total number of ways = 4!*5! => 24*120 => 2880

Option 1)