Find number of ways in which 16 apples can be distributed among four persons so that each of them gets at least one apple.
I worked out like this: Since every person must get 1 apple, we give one apple to each beforehand. That leaves us with 12 apples. Now there are C(12, 4) ways to give these 12 apples to 4 peoples(Am I correct). This makes for a solution of 495, but the answer is given as 455. Help!!!