How many ways can 4 prizes be given away to 3 boys, if each boy is eligible for all the prizes? Choose the correct option:  A) 256  B) 24  C) 12  D) None of these  E) Cannot be determined
Solution:   Let the 3 boys be B1, B2, B3 and 4 prizes be P1, P2, P3 and P4.   Now B1 is eligible to receive any of the 4 available prizes (so 4 ways).   B2 will receive prize from rest 3 available prizes(so 3 ways).   B3 will receive his prize from the rest 2 prizes available(so 2 ways).   So total ways would be: 4*3*2*1= 
<gadget id="calculator">4*3*2*1</gadget>
<output>24</output>
24 Ways.   Hence, the 4 prizes can be distributed in 24 ways.   Answer 24
<result>B</result>
How many ways can 4 prizes be given away to 3 boys, if each boy is eligible for all the prizes?