Lesson: Counting With Repetition Where Order Does Not Matter Mathematics
In this lesson, we will learn how to use combinations to count with repetition where order does not matter.
A magician wants to hide 4 identical balls in 16 boxes. More than one ball can be placed in a box. In how many ways can the balls be hidden?
Twenty passengers get on an airport shuttle. The shuttle route includes six hotels, and each passenger gets off the shuttle at his/her hotel. The driver records how many passengers leave the shuttle at each hotel. How many different possibilities exist?
How many integer solutions are there for the equation , given that , , and ?