Question

The starting five players for the New York Knicks basketball team have agreed to make appearances for a charity event tomorrow night. If you must send three of them to a United Way event and the other two to a Heart Fund event, how many different ways can you make the assignments?

Answer 1

Step-by-step explanation:

There are 5 players in total and we need to assign 3 to one event and 2 to another event.

Step 1: Choose 3 players out of the 5 to send to the United Way event. This can be done in (5 choose 3) ways, which is equal to 10.

Step 2: After choosing the 3 players for the United Way event, the remaining 2 players will automatically be sent to the Heart Fund event.

Step 3: Therefore, there is only 1 way to assign the remaining 2 players to the Heart Fund event.

Step 4: In total, there are 10 ways to assign 3 players to the United Way event and the remaining 2 players to the Heart Fund event.