In how many ways can 5 prizes be given away to 4 boys, when each boy is eligible for all the prizes?
In how many ways can 5 prizes be given away to 4 boys, when each boy is eligible for all the prizes?
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Any one of the prizes can be given in 4 ways; then any one of the remaining 4 prizes can be given again in 4 ways, since it may even be obtained by the boy who has already received a prize.
Hence 5 prizes can be given 4 × 4 × 4 × 4 × 4 = 45 ways.
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