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 if all coins are identical but all pots are different?

• A. 15
• B. 16
• C. 17
• D. 81

Answer 1

The correct option is A 15

Required number of ways ${=}^{4+3-1}{C}_{3-1}\left(using{}^{n+r-1}{C}_{r-1}\right)$
${=}^6{C}_2=15$