A student council consist of 15 student . six comitee are to be selected
I) Two council member have the same major and are not permitted to serve together on a comitee. How many ways can a comitee of six be selected from the membership council
* please show the working i'm doing my past year paper
2006-09-05 17:14:54 · 5 answers · asked by Anonymous in Education & Reference ➔ Homework Help
They may be appointed or elected.
That's 2.
2006-09-13 11:46:00 · answer #1 · answered by exert-7 7 · 0⤊ 0⤋
Combinations are the sum of the combinations using one of the paired majors and non-using one of the paired majors.
A = have same major
B = do not have same major
Figure combinations for 1A X 5B and add to combinations for 6B
Combinations for selecting 1 A is 2.
Combinations for selecting a set of 5 from 13 is 13!-8!
Combinations for selecting a set of 6 from 13 is 13!-7!
Possibilities if one of the As is picked is 2(13!-8!).
Possibilities if neither of the As is picked is 13!-7!.
Add together 2(13!-8!)+13!-7!
I don't know much about statistics, but I did sleep at a Holiday Inn last night.
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I believe I am reading the question differently from the above two answers. I am assuming you are picking only one committee of 6 members.
2006-09-06 00:31:00 · answer #2 · answered by LorettoBoy 4 · 0⤊ 0⤋
it will be 2*14C5=2*14*13*12*11*10/1*2*3*4*5=4004 ways
keep one of the two doing the same major out so 14C5
then with the other one out another 14C5
so 2*14C5
2006-09-06 00:20:38 · answer #3 · answered by raj 7 · 0⤊ 0⤋
Above guy is right except I think it should be 14C6 instead of 14C5 because there are 6 committees to form
2006-09-06 00:27:38 · answer #4 · answered by bigbadleroybrown 1 · 0⤊ 0⤋
Its very easy you just use the "combination" rule of both eleminating one and do it yourself it will help you in future.
2006-09-06 00:17:50 · answer #5 · answered by rashid_6mehmood 2 · 1⤊ 0⤋