Problem 3 A total of 36 members of a club play tennis, 28 play squash, and 18 play badminton. Furthermore, 22 of the members play both tennis and squash, 12 play both tennis and badminton, 9 play both squash and badminton, and 4 play all three sports. If the total number of members of the club is 50, how many members of this club do not play any of the three sports?

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter2: Equations, Inequalities, And Problem Solving
Section2.4: Formulas
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Problem 3
A total of 36 members of a club play tennis, 28 play squash, and 18 play badminton.
Furthermore, 22 of the members play both tennis and squash, 12 play both tennis and
badminton, 9 play both squash and badminton, and 4 play all three sports. If the total
number of members of the club is 50, how many members of this club do not play any of
the three sports?
Transcribed Image Text:Problem 3 A total of 36 members of a club play tennis, 28 play squash, and 18 play badminton. Furthermore, 22 of the members play both tennis and squash, 12 play both tennis and badminton, 9 play both squash and badminton, and 4 play all three sports. If the total number of members of the club is 50, how many members of this club do not play any of the three sports?
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