Answer :

Given: We have toys with bearing 4, 4 and 5

To Find: Number of 3-digit numbers he can make

The formula used: The number of permutations of n objects, where p_{1} objects are of one kind, p_{2} are of the second kind, ..., p_{k} is of a k^{th} kind and the rest, if any, are of a different kind is

The child has to form a 3-digit number.

Here the child has two 4’s.

We have to use the above formula

Where,

n=3

p_{1}=2

The numbers are 544, 454 and 445.

He can make 3 3-digit numbers.

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