Bare Count

There are 12 kids in a classroom.
6 kids are wearing socks and 4 are wearing shoes.
3 kids are wearing both.
How many are barefoot?

Answer: 5 kids

Explanation:
Using the inclusion–exclusion principle:

  • Socks only = 6 − 3 = 3

  • Shoes only = 4 − 3 = 1

  • Both socks & shoes = 3

Total wearing something on their feet: 3 + 1 + 3 = 7
Barefoot: 12 − 7 = 5

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