MathDB

A2/B3

Part of 2020 Princeton University Math Competition

Problems(1)

2020 PUMaC Combinatorics A2 / B3

Source:

1/1/2022
Cary has six distinct coins in a jar. Occasionally, he takes out three of the coins and adds a dot to each of them. Determine the number of orders in which Cary can choose the coins so that, eventually, for each number iāˆˆ{0,1,...,5}i \in \{0, 1, . . . , 5\}, some coin has exactly ii dots on it.
combinatorics