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Consider a set U of 23 different compounds in a chemistry lab. There is a subset S of U of 9 compounds, each of which reacts with exactly 3 compounds of U. Consider the following statements:

  1. Each compound in U \ S reacts with an odd number of compounds.
  2. At least one compound in U \ S reacts with an odd number of compounds.
  3. Each compound in U \ S reacts with an even number of compounds.

Which one of the above statements is ALWAYS TRUE? (Please Draw a graph Not Able to visualize)

  1. Only I
  2. Only II
  3. Only III
  4. None.
in Set Theory & Algebra by (5 points) | 5 views

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