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IKMC 2016 - Grades 9-10 - Self-study Question 20

IKMC · IKMC 2016 - Grades 9-10 - Self-study

Question 20

There are 2016 kangaroos, each grey or red, and both colors occur. For each kangaroo K take number of opposite-color kangaroos divided by number of same-color kangaroos, including K. What is the sum of all 2016 fractions?
  1. 2016
  2. 1344
  3. 1008
  4. 672
  5. more information needed