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In this lesson, we will learn how to use combinations to count with repetition where order does not matter.
Students will be able to
Q1:
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?
Q2:
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?
Q3:
How many integer solutions are there for the equation 𝑥+𝑥+𝑥=30, given that 𝑥>−5, 𝑥≥4, and 𝑥>3?
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