Q. 41

Find the number of ways in which 8 distinct toys can be distributed among 5 children.

Answer :

We have to find the possible number of ways in which we can distribute eight toys among five students when repetition of distribution of toys is allowed.

We will use the concept of multiplication because there are eight 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 toys have choices more precisely five choices are there for each toy and children won’t choose any because toys have the right to choose.


The number of ways in which we can distribute toys among five children where repetition of distribution is allowed 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5 = 58 = 390625


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