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Frank Is Building a Playground. There Are 10 Different Slides and 3 Swing Sets to Choose From. For the Seesaw, Frank Has 2 Options. If

Question

Frank is building a playground. There are 10 different slides and 3 swing sets to choose from. For the seesaw, Frank has 2 options. If the playground will include one of each type of play structure, how many different playgrounds can Frank build? square playgrounds

Solution

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Answer

### 60

Explanation

## Step 1: Calculate the number of slide and swing set combinations### Frank has 10 slide options and 3 swing set options. To find the total number of combinations of slides and swing sets, we multiply the number of options for each: .## Step 2: Calculate the total number of playground combinations### Now, consider the seesaw options. Frank has 2 choices for the seesaw. Since the playground will have one slide-swing set combination and one seesaw, we multiply the number of slide-swing set combinations by the number of seesaw options: .