Two problems of circular permutations
Posted: Mon Feb 02, 2015 10:45 pm
(1)Claudia wants to use $8$ indistinguishable red beads and $32$ indistinguishable blue beads to make a necklace such that there are at least $2$ blue beads between any $2$ red beads.In how many ways can she do this 
(2)In how many ways can $8$ girls and $25$ boys be arranged around a circular table so that there are at least $2$ boys between any $2$ girls (China $1990$)
[The above two problems are related.I have solved these.But I have confusion about my solution.So,I am posting these.]
(2)In how many ways can $8$ girls and $25$ boys be arranged around a circular table so that there are at least $2$ boys between any $2$ girls
(China $1990$)[The above two problems are related.I have solved these.But I have confusion about my solution.So,I am posting these.]