Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Feb 16, 2024

A boy has 6 pants, 4 shirts, 2 ties, and 3 jackets. How many unique outfits can he wear if he must wear one of each item?

STEP 1

Assumptions
1. The boy has 6 pairs of pants.
2. He has 4 shirts.
3. He has 2 ties.
4. He has 3 jackets.
5. He must wear one of each item to make an outfit.

STEP 2

To find the total number of different outfits, we need to multiply the number of choices for each item of clothing together.
$Total\, number\, of\, outfits = Number\, of\, pants \times Number\, of\, shirts \times Number\, of\, ties \times Number\, of\, jackets$

STEP 3

Now, plug in the given values for the number of pants, shirts, ties, and jackets to calculate the total number of outfits.
$Total\, number\, of\, outfits = 6 \times 4 \times 2 \times 3$

STEP 4

Calculate the total number of different outfits by performing the multiplication.
$Total\, number\, of\, outfits = 6 \times 4 \times 2 \times 3 = 144$
The boy can wear 144 different outfits to school.

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