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Question: The number of ways in which thirty five apples can be distributed among 3 boys so that each can have...

The number of ways in which thirty five apples can be distributed among 3 boys so that each can have any number of apples, is:

A

1332

B

666

C

333

D

None of these

Answer

666

Explanation

Solution

x1 + x2 + x3 = 35.

Number of ways = 37C2=37!35!x2!37C_{2} = \frac{37!}{35!x2!} = 666 ways.