### Brain Teasers

# Mix 'n Match

Math
Math brain teasers require computations to solve.

An older sister bragged that she had 30 different new outfits to wear to school.

Her younger brother said, "That's not true. You have 3 pairs of jeans, 5 shirts, and 2 pairs of shoes. There's no way that makes 30 different outfits. You only have 10 outfits."

Who is correct and why?

Her younger brother said, "That's not true. You have 3 pairs of jeans, 5 shirts, and 2 pairs of shoes. There's no way that makes 30 different outfits. You only have 10 outfits."

Who is correct and why?

### Answer

The older sister is correct. There are 30 different ways to mix and match the pants, shirts, and shoes.One pair of jeans goes with 5 shirts, so there are (3 x 5) or 15 jeans/shirts combinations. Each of these combinations can be worn with either of two pairs of shoes, which makes (15 x 2) or 30 different outfits.

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