Students in the tenth grade at a certain high school must take at least one science course: chemistry, physics, or biology. Each of these classes contains 20 students, and any two classes

have the same number of students in common. Five students are taking all three classes simultaneously.

Using the information given, identify a possible number of students in the tenth grade taking only one science class and the corresponding number of students common to any pair of classes.

The numbers must be consistent with each other. Make only two selections, one in each column.

Only One Science___Common to A Pair of Classes_______Number

_____________ ____________________________________2

_____________ ____________________________________7

_____________ ____________________________________9

_____________ ____________________________________24

_____________ ____________________________________33

_____________ ____________________________________39

SOLUTIONS:

Only One Science : 33

Common to A Pair of Classes Number : 7