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.

Option (A) is correct.


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