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