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Molly is planning a day out for her grandmother's birthday. They are going to have lunch at one of her grandmother's $3$ favorite restaurants, and then they will go shopping at one of her grandmother's $6$ favorite stores. Assuming the order of the activities doesn't matter, how many different ways can Molly plan her grandmother's birthday outing? $\newline$ $\_\_\_\_$ ways

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Counting principle

Full solution

Q. Molly is planning a day out for her grandmother's birthday. They are going to have lunch at one of her grandmother's

3

favorite restaurants, and then they will go shopping at one of her grandmother's

6

favorite stores. Assuming the order of the activities doesn't matter, how many different ways can Molly plan her grandmother's birthday outing?

\newline

\_\_\_\_

ways

Apply Basic Counting Principle: Apply the Basic Counting Principle. We know: $\newline$ Number of restaurant choices = $3$ $\newline$ Number of store choices = $6$ $\newline$ To find the total number of different ways Molly can plan the outing, we multiply the number of choices for each independent event. $\newline$ $3$ (restaurants) $\times$ $6$ (stores) = $18$
Calculate Total Number: Verify the calculation to ensure there are no math errors. Multiplying $3$ by $6$ should indeed give us $18$ . $\newline$ $3 \times 6 = 18$

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