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Algebra

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Joined: 23 Dec 2007
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27 Dec 2007 21:19:10 IST
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Permutation & combination
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In how many ways 5 boys & 5 girls be arranged so that at least 2 girls are together?
 
I know one answer
 
10! - 5! x 6!
 
In this answer we substracting the unfavourable case that is grils will not be together.
But what if we want to take the favourable case?
 
I have taken the favourable cases as follows
 
2 girls will be together, 3 girls will be together, 4 girls will be together & 5 girls will be together , but both the answers are not matching.
 
SO CAN ANYONE HELP ME FOR THAT?
 


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Purav Master's Avatar

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Joined: 9 Nov 2006
Posts: 814
27 Dec 2007 22:47:18 IST
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That way also you will get the same answer. Why waste time???????
Rajesh Peter's Avatar

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Joined: 14 Aug 2007
Posts: 22
28 Dec 2007 19:01:20 IST
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the problem is that when u consider the case of 3 gals being together u will be counting the case when 2 gals are together again.
svj 29's Avatar

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Joined: 27 Dec 2007
Posts: 822
28 Dec 2007 19:09:22 IST
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i too agree with m.mannattil



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