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

• the answer is 2880
  explanation : since in circular permutation no. of ways person can be arrange is (n-1) !
  now suppose the girls are seated in !4 ways now there are 5 spaces created (try to visualise ) now these can be filled in !5 ways so the ans is !4*!5=2880
• 9 years agoHelpfull: Yes(6) No(0)
• 5!*5!*2=2880
• 9 years agoHelpfull: Yes(3) No(1)
• possible orders of boys and girls:
  5*4*3*2*1=120 ways for boys
  5*4*3*2*1=120 ways for girls
  
  120*120=14400(B G B G B G..)
  120*120=14400(G B G B G B..) like that
  
  The total possible arrangements is:
  14400+14400=28800
• 9 years agoHelpfull: Yes(1) No(2)
• 4!*5!=2880
• 9 years agoHelpfull: Yes(0) No(0)
• 4!*5!=2880
• 9 years agoHelpfull: Yes(0) No(0)
• 28880 is right ans
• 9 years agoHelpfull: Yes(0) No(1)