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Ask iit jee aieee pet cbse icse state board community Discussion Response Post to: Contest [swordfish #3]: Find ways to distribute identical balls in identical boxes
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stareawe (7)

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Olaaa!! Perrrfect answer. 1  [2 rates]

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you said 30 identical balls are given then for writing iuse  "0"  for a ball . Three identical boxes are given .I use the following method to find the answer:
 
I take two separater marks(/)and arrange the 0's inside them and outside them like
00/00.......0/00..0 ie., the 0's(no. of balls) before the separater marks go into the go into the first box and likewise. since no box should be empty, i club the first'/' with a 0 ie.,(0/) and secon with two 0's hence i have 27 identical balls and two distinct elements hence the no. of ways
= 29!/27!
= 812    

its true that knowledge is power ,
but its most useful with skill.
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