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In how many ways can 3 prizes be distrib...

In how many ways can 3 prizes be distributed among 4 boys, when
(i) no boy gets more than 1 prizes ,
(ii) a boy may get any number of prizes,
(iii) no boy gets all the prizes?

Text Solution

Verified by Experts

1)3Prices,4Boys
`.^4C_3*3!`
2)`p_1*P_2*P_3=4*4*4=64`
3)Total-Boy gets all 3 prizes
`64-.^4C_1`
`64-4=60`.
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