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: I. Each compound in U S reacts with an odd number of compounds. II. At least one compound in U S reacts with an odd number of compounds. III. Each compound in U S reacts with an even number of compounds. Which one of the above statements is ALWAYS TRUE?

Consider a set U of 23 different compounds in a Chemistry lab. There i

1.	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: I. Each compound in U S reacts with an odd number of compounds. II. At least one compound in U S reacts with an odd number of compounds. III. Each compound in U S reacts with an even number of compounds. Which one of the above statements is ALWAYS TRUE?
A.	Only I
B.	Only II
C.	Only III
D.	None
Answer» C. Only III

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