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# Test of Mathematics Solution Subjective 48 - The Gifts Distribution  This is a Test of Mathematics Solution Subjective 48 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance.

Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta

## Problem

Find the different number of ways different gifts can be presented to children so that each child receives at least one gift.

## Solution:

There are two possible ways in which the gifts can be distributed.

Case 1: They are distributed as .

So first we choose the children who get gifts each in ways. Then we choose the gifts in ways.

Thus total number of ways = ways.

Case 2: They are distributed as .

So first we choose the child who gets gifts  in ways. Then we choose the gifts in ways.

Thus total number of ways = ways.

Therefore total number of ways to distribute the gifts = = ways. This is a Test of Mathematics Solution Subjective 48 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance.

Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta

## Problem

Find the different number of ways different gifts can be presented to children so that each child receives at least one gift.

## Solution:

There are two possible ways in which the gifts can be distributed.

Case 1: They are distributed as .

So first we choose the children who get gifts each in ways. Then we choose the gifts in ways.

Thus total number of ways = ways.

Case 2: They are distributed as .

So first we choose the child who gets gifts  in ways. Then we choose the gifts in ways.

Thus total number of ways = ways.

Therefore total number of ways to distribute the gifts = = ways.

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