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In how many ways can 12 different( not same) coloured balls be distributed among 3 boys so that each gets atleast 1 ball?  ans:- 519156

asked in Combinatory by Junior (603 points)  
edited by | 71 views
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Best answer

One way : S(12, 3) * 3!

See the link here

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Other way: Principle of inclusion-exclusion

312 - [ $\binom{3}{1}$ * 212 - $\binom{3}{2}$ * 112]

= 519156

answered by Veteran (15.1k points)  
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