Q. 455.0( 2 Votes )

In how many ways can 5 different balls be distributed among three boxes?

Answer :

We have to find the possible number of ways in which we can put five balls in three boxes when repetition of distribution of balls is allowed.

We will use the concept of multiplication because there are five sub jobs dependent on each other and are performed one after the other.


The thing that is distributed is considered to have choices, not the things to which we have to give them; it means that in this problem the balls have choices more precisely three choices are there for each ball and boxes won’t choose any because balls have the right to choose.


The number of ways in which we can put five balls among three boxes where repetition of distribution is allowed 3 × 3 × 3 × 3 × 3 = 35 = 243.


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