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ALEKS: Serena Jones Jane must choose a shirt and a pair of pants for today's outfit. She has 3 shirts and 2 pairs of pants to choose firty and statistics many different outfits can she make?

Ask by Carter Gardner. in the United States
Mar 11,2025

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Answer

Jane can make 6 different outfits.

Solution

1. Define the number of choices for each item: - Shirts: \(3\) options - Pants: \(2\) options 2. Use the Fundamental Counting Principle, which states that if there are \(a\) ways to do one thing and \(b\) ways to do another, then there are \(a \times b\) ways to do both. 3. Multiply the number of shirt options by the number of pants options: \[ 3 \times 2 = 6 \] Thus, Jane can assemble \(6\) different outfits.

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Jane can create a total of 6 outfits! This is because she can mix and match her shirts and pants. With 3 shirts and 2 pairs of pants, she simply multiplies the number of shirts by the number of pants: 3 shirts × 2 pants = 6 outfits. So, whether she wants to go casual or dress it up a bit, she's got plenty of stylish options to choose from! This scenario is a great example of the fundamental counting principle in combinatorics. It shows how we can use multiplication to count combinations in everyday situations, like picking an outfit. The principle applies not just to clothing choices but also to all sorts of decisions, from menu selections at a restaurant to planning a trip itinerary!

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