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mand-y
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pERMUTATION WITH CONSTRAINT 11 Jan 2006, 15:50
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:? plz need help on this one
plz explains your work and how you deal with no two boys stand together
constraint


In how many way can 10 GIRLS AND 6 BOYS be made to stand in a line so that no two boys stand together ?


thanksss



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ps_dahiya
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pERMUTATION WITH CONSTRAINT 11 Jan 2006, 16:12
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Is it 10! * 6! * 6

If this is correct then I will explain my working
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mand-y
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pERMUTATION WITH CONSTRAINT 11 Jan 2006, 16:19
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ps_dahiya
Is it 10! * 6! * 6

If this is correct then I will explain my working
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the answer is 10!x 11P6
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ps_dahiya
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pERMUTATION WITH CONSTRAINT 11 Jan 2006, 16:27
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mand-y
ps_dahiya
Is it 10! * 6! * 6

If this is correct then I will explain my working

the answer is 10!x 11P6
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My mistake. :wall

The explanation goes like this.

How you can arrange boys so that no 2 boys are together, is by inserting each boy between two girls.

x is a blank space and G is a girl

So arrangement is like this

x G x G x G x G x G x G x G x G x G x G x

In how many ways you can shuffle these girls = 10!

In howmany ways you can fill 11 spaces with 6 boys = 11P6

So ANS = 10! * 11P6
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pERMUTATION WITH CONSTRAINT 11 Jan 2006, 17:05
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ps_dahiya
mand-y
ps_dahiya
Is it 10! * 6! * 6

If this is correct then I will explain my working

the answer is 10!x 11P6

My mistake. :wall

The explanation goes like this.

How you can arrange boys so that no 2 boys are together, is by inserting each boy between two girls.

x is a blank space and G is a girl

So arrangement is like this

x G x G x G x G x G x G x G x G x G x G x

In how many ways you can shuffle these girls = 10!

In howmany ways you can fill 11 spaces with 6 boys = 11P6

So ANS = 10! * 11P6
Show more


THANKS great explanation! :)
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pERMUTATION WITH CONSTRAINT 18 Jan 2006, 19:16
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shouldn't it be combination instead of permutation?

Quote:
So ANS = 10! * 11P6
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10! * 11C6?
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Bhai
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pERMUTATION WITH CONSTRAINT 18 Jan 2006, 19:39
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I also made mistake like ps_dahiya.

Initially got 10! * 6! * 6
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chiragr
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pERMUTATION WITH CONSTRAINT 18 Jan 2006, 22:25
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nice explaination...
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pERMUTATION WITH CONSTRAINT 18 Jan 2006, 22:27
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shouldn't it be combination instead of permutation?

Quote:
So ANS = 10! * 11P6


10! * 11C6?

Nop it should be permutation because boys order matters...



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Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
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