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