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Alvin thought dressing up as a ghost for Halloween would be simple, but there were still many decisions to make. He has $5$ different colored sheets and can cut $2$ different eyehole shapes. How many different ways can Alvin dress up as a ghost? $\newline$ $\_\_\_\_$ ways

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Counting principle

Full solution

Q. Alvin thought dressing up as a ghost for Halloween would be simple, but there were still many decisions to make. He has

5

different colored sheets and can cut

2

different eyehole shapes. How many different ways can Alvin dress up as a ghost?

\newline

\_\_\_\_

ways

Identify Factors: Identify the factors that determine the number of different ways Alvin can dress up. Alvin has $5$ different colored sheets and $2$ different eyehole shapes to choose from.
Use Principle: Use the fundamental counting principle to determine the total number of combinations. $\newline$ For each colored sheet, Alvin can choose $2$ different eyehole shapes. So, the number of ways he can dress up as a ghost is the product of the number of sheet choices and the number of eyehole shape choices. $\newline$ $5$ colored sheets $\times$ $2$ eyehole shapes
Perform Multiplication: Perform the multiplication to find the total number of different ways. $5 \times 2 = 10$

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