There are 5 mangoes,10 apples and 15 oranges.Find number of ways to distribute 15 fruits to two persons.
Now,what is to be done.
Unless we take into account each selection separately then only can the answer be determined.
Would it be
Like... the number of permutations of the 30 fruits mulitplied by the number of combinations of size 15 from 30 possible fruits mulitiplied by the number of different ways you can distribute 15 fruits to 2 people...
2 mangoes, 7 apples and 6 oranges.
now, these can be divided among two people in 3*8*7=168 ways
(these include the cases in which one of them don't get anything).
Let us say that this case corresponds to
Then all the solution will be given by ...subject to constraints:
If the reasoning till now is true, then the solution of given problem is the coefficient of in