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 to 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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