Combinatories

1:

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 : A

Explanation :

Required number of ways are 45=1024.

Since each prize can be distributed in 4 ways

Jeevan Gyawali said: (2:24am on Wednesday 16th August 2017)
I don't think the answer is correct in this context. For A to make sense, there needs to be an unlimited supply of the 5 TYPES of prizes. If there are only 5 prizes, the only possible options are :2,1,1,1 -> 4C1 =42,2,1,0 -> 4C2 * 2C1 = 243,1,1,0 -> 4C1 * 3C2 = 123,2,0,0 -> 4C1 * 3C1 = 124,1,0,0 -> 4C1 = 45,0,0,0 -> 4C1 = 4 So, total = 4 24 12 12 12 4 = 68

Write your comments here:


Report Error
 

Option: A

Explanation : Explanation will come here. Explanation will come here. Explanation will come here. Explanation will come here. Explanation will come here.