Juan has 4 ties, 7 shirts, and 6 pairs of pants. How many different outfits can he wear if he chooses one tie, one shirt, and one pair of pants for each outfit? ... There are different outfits Juan can wear if he chooses one tie, one shirt, and one pair of pants for each outfit. (Type a whole number.)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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**Problem: Outfit Combinations**

Juan has 4 ties, 7 shirts, and 6 pairs of pants. How many different outfits can he wear if he chooses one tie, one shirt, and one pair of pants for each outfit?

**Solution:**

To find out how many different outfits Juan can wear, we need to calculate the total number of combinations of ties, shirts, and pants. This is done by multiplying the number of choices for each clothing item.

\[ \text{Different outfits} = (\text{Number of ties}) \times (\text{Number of shirts}) \times (\text{Number of pants}) \]

\[ \text{Different outfits} = 4 \times 7 \times 6 \]

\[ \text{Different outfits} = 168 \]

Therefore, there are 168 different outfits Juan can wear if he chooses one tie, one shirt, and one pair of pants for each outfit.
Transcribed Image Text:**Problem: Outfit Combinations** Juan has 4 ties, 7 shirts, and 6 pairs of pants. How many different outfits can he wear if he chooses one tie, one shirt, and one pair of pants for each outfit? **Solution:** To find out how many different outfits Juan can wear, we need to calculate the total number of combinations of ties, shirts, and pants. This is done by multiplying the number of choices for each clothing item. \[ \text{Different outfits} = (\text{Number of ties}) \times (\text{Number of shirts}) \times (\text{Number of pants}) \] \[ \text{Different outfits} = 4 \times 7 \times 6 \] \[ \text{Different outfits} = 168 \] Therefore, there are 168 different outfits Juan can wear if he chooses one tie, one shirt, and one pair of pants for each outfit.
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