Find the number of ways in which 5 disti...

Find the number of ways in which 5 distinct balls can be distributed in three different boxes if no box remains empty. Or If `n(A)=5a n dn(B)=3,` then find the number of onto functions from A to B.

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Using above formula, the number of ways is
`3^(5)- ""^(3)C_(1)(3-1)^(5)+ ""^(3)C_(2)(3-2)^(5)=243-96+3=150`

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