Two problems of circular permutations

For discussing Olympiad Level Combinatorics problems
tanmoy
Posts: 305
Joined: Fri Oct 18, 2013 11:56 pm
Location: Rangpur,Bangladesh

Two problems of circular permutations

Unread post by tanmoy » 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.]
"Questions we can't answer are far better than answers we can't question"

tanmoy
Posts: 305
Joined: Fri Oct 18, 2013 11:56 pm
Location: Rangpur,Bangladesh

Re: Two problems of circular permutations

Unread post by tanmoy » Mon Feb 23, 2015 8:52 pm

Could anyone post the solutions,please?
"Questions we can't answer are far better than answers we can't question"

Golam Musabbir Joy
Posts: 11
Joined: Tue Jun 16, 2015 5:11 am
Location: Barisal, Bangladesh

Re: Two problems of circular permutations

Unread post by Golam Musabbir Joy » Wed Sep 23, 2015 7:27 pm

not sure the ans is 9!

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