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mand-y
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permutations boys and girl 10 Aug 2006, 18:27
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PLZ help post your reasoning


In how many ways can 10 GIRLS and 6 BOYS made to stand in a line so that no boys stand together

thanks



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trivikram
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permutations boys and girl 10 Aug 2006, 18:37
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11C6 ways

10 girls ----> 11 spaces for 6 boys
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mand-y
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permutations boys and girl 10 Aug 2006, 18:40
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thanks can your explain WHY THE 11 SPACE
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trivikram
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permutations boys and girl 10 Aug 2006, 18:43
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mand-y
thanks can your explain WHY THE 11 SPACE
Show more


S G1 S G2 S G3 S G4 S G5 S G6 S G7 S G8 S G9 S G10 S

G1...10 REPRESENT GIRLS AND "S" SPACES
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agsfaltex
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permutations boys and girl 10 Aug 2006, 18:49
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But does this take into account cases where more then one girl can be next to each other?

B6*G10*G9*B5*G8*G7*B4*G6*G5*B3*G4*G3*B2*G2*G1*B1

Whats the OA?
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ps_dahiya
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permutations boys and girl 10 Aug 2006, 23:43
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trivikram
11C6 ways

10 girls ----> 11 spaces for 6 boys
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What about reshuffling among grils as well as boys.

Itsn't the answer should be 11C6 * 6! * 10!
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permutations boys and girl 11 Aug 2006, 00:08
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trivikram
11C6 ways

10 girls ----> 11 spaces for 6 boys
What about reshuffling among grils as well as boys.

Itsn't the answer should be 11C6 * 6! * 10!
Show more


I agree.

11 spaces for 6 boys .

Boys can be arranged in 11C6 ways
Boys can be arranged in 6! ways
Girls can be arranged in 10! ways

Total = 11C6 * 6! * 10!
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permutations boys and girl 11 Aug 2006, 01:35
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I think is 11P5

If the question is: 10 GIRLS and 6 BOYS made to stand in a line so that no boys stand together


Then, why is important to know the position of the girls in the row? :roll:



..



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