Problem

A boy owns 8 pairs of pants, 8 shirts, 8 ties, and 4 jackets. How many different outfits can he wear to school if he must wear one of each item? He can wear different outfits. Question Help: $\square$ Video - Question 4

Solution

Step 1 :The boy has a choice of 8 pants, 8 shirts, 8 ties, and 4 jackets.

Step 2 :The total number of outfits he can wear is the product of the number of choices for each item.

Step 3 :This is because for each pair of pants, there are 8 shirts, 8 ties, and 4 jackets he can choose to wear with it.

Step 4 :This is a basic principle of counting in combinatorics.

Step 5 :Using the formula for combinations, we get \(8 \times 8 \times 8 \times 4 = 2048\).

Step 6 :Final Answer: The boy can wear \(\boxed{2048}\) different outfits to school.

From Solvely APP
Source: https://solvelyapp.com/problems/aPKCtbJ3DE/

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