Question

Out of 50 students who exercise regularly, 25 jog, 20 play basketball and 15 swim. 10 play basketball and jog, 5 play basketball and swim, 7 jog and swim and 2 people do all three. How many students do not do any of these activities? a) 0 b) 15 c) 10 d) 2 e) 4

          Out of 50 students who exercise regularly, 25 jog, 20 play basketball and 15 swim. 10 play basketball and jog, 5 play basketball and swim, 7 jog and swim and 2 people do all three.

How many students do not do any of these activities?

a) 0
b) 15
c) 10
d) 2
e) 4

Out of 50 students who exercise regularly, 25 jog, 20 play basketball and 15 swim. 10 play basketball and jog, 5 play basketball and swim, 7 jog and swim and 2 people do all three.

How many students do not do any of these activities?

a) 0
b) 15
c) 10
d) 2
e) 4

Added by Amanda W.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Sri K

05/31/2022

Step 1

- Let \( B \) be the set of students who play basketball. - Let \( S \) be the set of students who swim. Given: - \( |J| = 25 \) - \( |B| = 20 \) - \( |S| = 15 \) - \( |J \cap B| = 10 \) - \( |B \cap S| = 5 \) - \( |J \cap S| = 7 \) - \( |J \cap B \cap S| = 2 \) Show more…

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Out of 50 students who exercise regularly, 25 jog, 20 play basketball, and 15 swim; 10 play basketball and jog, 5 play basketball and swim, 7 jog and swim, and 2 people do all three. How many students do not do any of these activities? a) 0 b) 15 c) 10 d) 2 e) 4