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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 the playground will include one of each type of play structure, how many different playgrounds can Frank build? square playgrounds

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

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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GodfreyProfessional · Tutor for 6 years

Answer

### 60

Explain

## Step 1: Calculate the number of slide and swing set combinations<br />### 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: $10 \times 3 = 30$.<br />## Step 2: Calculate the total number of playground combinations<br />### 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: $30 \times 2 = 60$.
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