In how many ways can 5 prizes be given away to 4 boys, when each boy is eligible for all the prizes?
A
1024
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B
20
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C
625
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D
540
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Solution
The correct option is A 1024 First prize can be given away to 4 boys in 4 ways. Similarly second, third, fourth and fifth prizes can also be given away to four boys in 4 ways. Hence the required number of way in which all the 5 prizes can be given away to 4 boys =4×4×4×4×4×=1024