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a group of students decided to take hiking, swimming, and knitting classes. it is known that...

a group of students decided to take hiking, swimming, and knitting classes. it is known that 9 students take a knitting class, 10 students take a hiking class, and 15 students taking a swimming class. later in the semester it is revealed that 2 students took knitting and hiking, 3 took swimming and hiking, 5 took knitting and swimming, and 1 student took hiking, swimming, and knitting.

how many students from the group only took the swimming class?

Use the principle of inclusion-exclusion to determine the number of students that are in the group.

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