Question 18 of 28beginner🔧 ApplyNumerical2 marks

Roxie has 7 dresses, 2 hats, and 3 pairs of shoes. How many different ways can Roxie dress up?

Correct Answer

Given:

  • Number of dresses = 7
  • Number of hats = 2
  • Number of pairs of shoes = 3

Formula: Fundamental Principle of Counting If there are mm ways to do one thing and nn ways to do another, there are m×nm \times n ways to do both.

Calculation: Total combinations = 7×2×3=427 \times 2 \times 3 = 42

Answer: 42 different ways

Exercise: How Many Combinations | Q: 1 | (Page Page 8)
For More Understanding

Explanation

For each combination, Roxie chooses 1 dress from 7, 1 hat from 2, and 1 pair of shoes from 3. The total number of combinations is 7×2×3=427 \times 2 \times 3 = 42. This follows the fundamental principle of counting: if there are m ways to do one thing and n ways to do another, there are m×nm \times n ways to do both.

Solution Steps

  1. Step 1: Number of choices for dress = 7

  2. Step 2: Number of choices for hat = 2

  3. Step 3: Number of choices for shoes = 3

  4. Step 4: Total combinations = 7×2×3=427 \times 2 \times 3 = 42

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