Questions: Kendall is planning a day out for her grandmother's birthday. They are going to have lunch at one of her grandmother's 4 favorite restaurants, and then they will go shopping at one of her grandmother's 7 favorite stores. Next, they will go see a movie, and there are 9 movies out that she thinks her grandmother might like. Assuming the order of the activities doesn't matter, how many different ways can Kendall plan her grandmother's birthday outing?

Kendall is planning a day out for her grandmother's birthday. They are going to have lunch at one of her grandmother's 4 favorite restaurants, and then they will go shopping at one of her grandmother's 7 favorite stores. Next, they will go see a movie, and there are 9 movies out that she thinks her grandmother might like. Assuming the order of the activities doesn't matter, how many different ways can Kendall plan her grandmother's birthday outing?

Transcript text: Kendall is planning a day out for her grandmother's birthday. They are going to have lunch at one of her grandmother's 4 favorite restaurants, and then they will go shopping at one of her grandmother's 7 favorite stores. Next, they will go see a movie, and there are 9 movies out that she thinks her grandmother might like. Assuming the order of the activities doesn't matter, how many different ways can Kendall plan her grandmother's birthday outing?

Solution

Solution Steps

Step 1: Identify the number of choices for each activity

Restaurants: 4 choices
Stores: 7 choices
Movies: 9 choices

Step 2: Apply the Fundamental Counting Principle

Since the order of activities does not matter, the total number of ways to plan the outing is the product of the number of choices for each activity.
Total ways = \( 4 \times 7 \times 9 \).

Step 3: Calculate the total number of ways

Multiply the numbers:
\( 4 \times 7 = 28 \),
\( 28 \times 9 = 252 \).

The total number of ways is \( 252 \).