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Algebra

Blazing goIITian

Joined:	12 Apr 2008
Post:	424

17 May 2009 02:33:52 IST

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393

find d no. of ways in which 11 identical apples can be distributed among 6 children, so dat each rec

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find d no. of ways in which 11 identical apples can be distributed among 6 children, so dat each receives at least one apple.

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NugoRama

Blazing goIITian

Joined: 11 Mar 2009

Posts: 5517

17 May 2009 03:41:33 IST

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first give one apple to each ..in 1 way .

left with 5 apples ..

each apple has 6 choices (6 children to go to) ..

hence they can be given in 6^5 ways ..

hence answer = 1 x 6^5 ways = 6^5 ways

shubhra rai

Blazing goIITian

Joined: 9 Dec 2006

Posts: 462

17 May 2009 05:42:41 IST

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answer is 6P5

zzzzz

Blazing goIITian

Joined: 12 Apr 2008

Posts: 424

17 May 2009 06:39:07 IST

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ans. is 252 i.e 10C5

Sujit

Blazing goIITian

Joined: 11 Mar 2009

Posts: 1345

17 May 2009 07:13:44 IST

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the ans is ¹⁰C₅

let the no of apples divided be

a+b+c+d+e+f=11

find out positive integral solutions of the abv equation to get the no. of ways

hence the ans is

¹⁰C₅

zzzzz

Blazing goIITian

Joined: 12 Apr 2008

Posts: 424

17 May 2009 23:45:17 IST

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@sujit ......bro ain't getting ans. by ur method....chk it once!!!

Neeraj Phadnis

Scorching goIITian

Joined: 29 Dec 2007

Posts: 207

17 May 2009 23:52:18 IST

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Better method:

arrange 11 apples in one line.

take 5 sticks and place them in the 10 gaps between 11 apples.

This will form 6 parts with each patr having at least 1 apple.

thus ans = no. of ways of arranging sticks =10C5

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