Math In Daily Life: What to Wear, What to Wear? (Winter)

Probability Level 2

I have 9 pants, 16 shirts, 21 sweaters, 4 mittens, and 3 coats. Assuming that a complete winter outfit consists of pants, shirts, sweaters, a pair of mittens, and coats, how many winter outfits can I wear?


The answer is 18144.

William Pan by William Pan , 17, USA

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1 solution

William Pan
Jan 14, 2016

To find the number of outfits or combinations of clothes you can choose from for my winter outfit, multiply together the number of all clothing items I own: 9 p a n t s × 16 s h i r t s × 21 s w e a t e r s × 2 p a i r s o f m i t t e n s × 3 c o a t s = 18144 9\quad pants\quad \times \quad 16\quad shirts\quad \times \quad 21\quad sweaters\quad \times \quad 2\quad pairs\quad of\quad mittens\quad \times \quad 3\quad coats\quad =\quad 18144

∴ \therefore , the number of combinations is 18144.

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Technically there are more combinations, because there are 6 ways to choose 2 mittens from 4. However, the mittens might not match.

D C - 4 years, 11 months ago

The mittens must 6 ways

I Gede Arya Raditya Parameswara - 4 years, 4 months ago

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