# GATE | Sudo GATE 2020 Mock III (24 January 2019) | Question 1

There are 6 identical toys be placed in 3 identical boxes such that no box is empty. Total number of possible ways is _______ .**(A)** 3**(B)** 1**(C)** 28**(D)** None of these.**Answer:** **(A)****Explanation:** Since the toys and boxes are identical, we just need ro deal with a ways of splitting six into three natural numbers:

1+2+3 = 6 1+1+4 = 6 2+2+2 = 6

These are the 3 ways in which it can be done.

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Option (A) is correct.

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