Question

There are 3 pots and 4 coins. All these coins are to be distributed into these pots where any pot can contain any number of coins.

In how many ways all these coins can be distributed such that no pot is empty if all coins are identical but all pots are different?

• A. 6
• B. 3
• C. 9
• D. 27

Answer 1

The correct option is B 3

Sincew no pot is empty and all coins are identical, the possible case is (1, 1, 2).
But since all three pots are different hence a pot (which contains 2 coins together) can be selected in ${}^3{C}_1$ ways.
Hence the required number of distribution ${=}^3{C}_1\times 1=3$