1 votes 1 votes how many ways are there to arrange 6 girls and 15 boys in a circle such that there are atleast two boys between two adjacent girls? Combinatory combinatory + – debanjan sarkar asked Apr 19, 2016 • retagged Jun 27, 2017 by Arjun debanjan sarkar 559 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
2 votes 2 votes For every girl there are 2 boys one at left and other at right. so for 6 girls, 12 boys can be chosen in 15P12 ways.Now every girl and 2 boys are considered as group remaining 3 boys(15-12 boys) are also consider as groups.so we have total 9 group in total and this can be arrange in circular in (9-1)!=8!ways. Number of permutation satisfy the conditions equals 15P12*8! Nishant Arora answered Apr 21, 2016 Nishant Arora comment Share Follow See all 0 reply Please log in or register to add a comment.
0 votes 0 votes The boys can arrange them in 14! ways there are 8 sits between atleat every 2 boys Girls can arrange 8C3 ways 6 girls can arrange 6! ways So, total 14! ⨉ 8C3 ⨉ 6! ways srestha answered Apr 19, 2016 srestha comment Share Follow See 1 comment See all 1 1 comment reply ManojK commented Apr 20, 2016 reply Follow Share how it is ensuring that there are atleast two boys between two adjacent girlsz?.check again. 0 votes 0 votes Please log in or register to add a comment.
