Welcome to Adda
Question
If 16 oranges are distributed among 4childrens such that each gets atleast 3 oranges ,the number of ways of distribution them is .
If 16 oranges are distributed among 4childrens such that each gets atleast 3 oranges ,the number of ways of distribution them is .
Comment
Share
Answer
Assuming that the oranges are identical, remove 12 oranges (3*4) as each of the four people should get atleast 3 oranges each. So, we have to distribute 4 oranges amongst 4 people.
a+b+c+d = 4. Number of solutions is 7C3 = 35
Answer
I assume the oranges are identical. We have to give 3 to each of them that consumes 12 of them. The remaining 4 can be distributed using the formula of distributing n identical objects into r different group where each group cab have 0 or more(n+r-1Cr-1). The answer will be 35(n = 4 and r = 4).
