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Quincy's family is going to get a hamster, but first they need to buy the supplies. The pet store has $3$ cages and $5$ kinds of wood shavings to cover the floor of the cage. How many different ways can Quincy's family set up a home for their hamster? $\newline$ $\_\_\_\_$ ways

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Find the number of outcomes: word problems

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Q. Quincy's family is going to get a hamster, but first they need to buy the supplies. The pet store has

3

cages and

5

kinds of wood shavings to cover the floor of the cage. How many different ways can Quincy's family set up a home for their hamster?

\newline

\_\_\_\_

ways

Identify Choices: Identify the number of choices for each category. $\newline$ Quincy's family has $3$ choices for cages and $5$ choices for kinds of wood shavings.
Use Principle: Use the fundamental counting principle. $\newline$ To find the total number of different ways to set up the hamster's home, multiply the number of choices for cages by the number of choices for wood shavings. $\newline$ Total ways = Number of cage choices $\times$ Number of wood shaving choices $\newline$ Total ways = $3 \times 5$
Perform Multiplication: Perform the multiplication to find the total number of different ways. $\newline$ Total ways = $3 \times 5 = 15$

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