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Dana is planning a day out for her grandmother's birthday. They are going to have lunch at one of her grandmother's 10 favorite restaurants and then they will go shopping at one of her grandmother's 6 favorite stores. Next they will go see a movie, and there are 8 movies out that she thinks her grandmother might like. Assuming the order of the activities doesn't matter, how many different ways can Dana plan her grandmother'birthday outing? square ways

Question

Dana is planning a day out for her grandmother's birthday. They are going to have lunch at one of her grandmother's 10 favorite restaurants and then they will go shopping at one of her grandmother's 6 favorite stores. Next they will go see a movie, and there are 8 movies out that she thinks her grandmother might like. Assuming the order of the activities doesn't matter, how many different ways can Dana plan her grandmother'birthday outing? square ways

Dana is planning a day out for her grandmother's birthday. They are going to have lunch at one of her grandmother's 10 favorite restaurants and then they will go shopping at one of her grandmother's 6 favorite stores. Next they will go see a movie, and there are 8 movies out that she thinks her grandmother might like. Assuming the order of the activities doesn't matter, how many different ways can Dana plan her grandmother'birthday outing? square ways

Solution

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TimothyMaster · Tutor for 5 years

Answer

### 480

Explain

## Step 1: Restaurant Choices<br />### Dana can choose 1 of 10 restaurants for lunch.<br /><br />## Step 2: Shopping Choices<br />### After lunch, they can shop at 1 of 6 stores.<br /><br />## Step 3: Movie Choices<br />### Finally, they can see 1 of 8 movies.<br /><br />## Step 4: Total Choices<br />### To find the total number of ways Dana can plan the outing, we multiply the number of choices for each activity: $10 \times 6 \times 8 = 480$.
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