   Chapter P.1, Problem 38E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

Exercises 33 - 38 are based on the principle N A ∪ B = N A + N B - N ( A ∩ B ) .At “It’s a Small World,” dance classes and gymnastics classes are offered to preschool-age children. For the fall classes, 65 preschoolers are enrolled in dance classes and 58 are enrolled in gymnastics classes. Of those student, 26 were enrolled in both dance and gymnastics classes. How many total students were enrolled?

To determine

To find:

The total number of students enrolled.

Explanation

Calculation:

Given,

Number of students enrolled for dance classes =65

Number of students enrolled in gymnastics classes =58

Number of students enrolled in both dance and gymnastics classes =26.

Let A represent the set of students enrolled in dance classes and the set B the students in gymnastic classes.

Thus,

NA=65

NB=58

NAB=26

The total number of students enrolled is given by NAB

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