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Isabelle thought dressing up as a ghost for Halloween would be simple, but there were still many decisions to make. She has $4$ different colored sheets and can cut $3$ different eyehole shapes. How many different ways can Isabelle dress up as a ghost? $\newline$ $\_\_\_\_$ ways

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Counting principle

Full solution

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

4

different colored sheets and can cut

3

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

\newline

\_\_\_\_

ways

Identify Options: Identify the number of options for each decision Isabelle has to make. $\newline$ Isabelle has $4$ options for the color of the sheet and $3$ options for the shape of the eyeholes.
Use Counting Principle: Use the fundamental counting principle to determine the total number of different ways Isabelle can dress up as a ghost. $\newline$ The fundamental counting principle states that if there are $n$ ways to do one thing, and $m$ ways to do another, then there are $n \times m$ ways to do both. $\newline$ For Isabelle, this means she has $4 \times 3$ ways to combine sheet colors and eyehole shapes.
Calculate Combinations: Calculate the total number of combinations. $4$ (sheet colors) $\times 3$ (eyehole shapes) $= 12$ different ways.

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