Book Maths Puzzle

The number of ways in which 13 gold coins can be distributed among three persons such that each one gets at least two gold coins is

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Book Other Question

In how many ways can 30 identical apples be divided among 10 boys? Eight balls of different colours need to be placed in three boxes of different sizes. Each box can hold all the eight balls. In how many ways can the balls be placed in the boxes so that no box remains empty ?