SOLUTION: In how many ways can 9 gifts be divided between 4 children if the eldest child is to receive 3 gifts and each of the other children 2 gifts?
Algebra ->
Probability-and-statistics
-> SOLUTION: In how many ways can 9 gifts be divided between 4 children if the eldest child is to receive 3 gifts and each of the other children 2 gifts?
Log On
Question 1194842: In how many ways can 9 gifts be divided between 4 children if the eldest child is to receive 3 gifts and each of the other children 2 gifts? Answer by ikleyn(52803) (Show Source):
You can put this solution on YOUR website! .
In how many ways can 9 gifts be divided between 4 children
if the eldest child is to receive 3 gifts and each of the other children 2 gifts?
~~~~~~~~~~~~~~
There are = = 84 choices for the eldest child;
then = 15 choices for the next (second) child;
= 6 choices for the next (third) child;
and finally only one choice without any possible options for the last child.
In all, there are = 84*15*6 = 7560 different ways to distribute the gifts under given conditions.
Solved.
---------------
This problem is on Combinations and on Fundamental counting principle.
