What To Wear? What to Wear?

Probability Level 1

I have m m pairs of distinct socks and n n pairs of distinct shoes. If I were to wear exactly one pair of socks and one pair of shoes, then the total number different choices I could have is 10. What is the relationship between m m and n n ?

m n = 10 m^n = 10 m + n = 10 m+ n = 10 m × n = 10 m\times n = 10

Pi Han Goh by Pi Han Goh , 30, Malaysia

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1 solution

Jesse Nieminen
Aug 17, 2016

Rule of Product tells that the total number of different choices with one pair of socks and one pair of shoes, when we have m m distinct pairs of socks and n n distinct pairs of shoes, is m × n m \times n . Since the number of choices is equal to 10 10 , the relationship between m m and n n can be represented as m × n = 10 m \times n = 10 .

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