Question

In how many ways can $5$ prizes be distributed among $4$ boys when every boy can take one or more prizes ?

• A. 1024
• B. 625
• C. 120
• D. 600

Answer 1

Answer: (A)

1024

Answer 2

First prize may be given to any one of the $4$ boys, hence first prize can be distributed in $4$ ways.
similarly every one of second, third, fourth and fifth prizes can also be given in $4$ ways.
$\therefore$ the number of ways of their distribution
$= 4 \times 4 \times 4 \times 4 \times 4 = 4^5 = 1024$