Question
Quantitative Aptitude Question on Permutation and Combination
In how many ways can 7 identical erasers be distributed among 4 kids in such a way that each kid gets at least one eraser but nobody gets more than 3 erasers?
A
16
B
20
C
14
D
15
Answer
16
Explanation
Solution
After providing one eraser to each of the 4 kids, there are 3 erasers remaining. The distribution can be done in either 2, 1, or 1, 1, 1 manner (no kid can receive 4 erasers).
There are a total of 4 P 2+4 C 3, which equals 16 ways of distributing the erasers.