A survey of 1900 commuters in New York City showed that 1120 take the subway, 620 take the bus, and 170 do not take either the bus or the subway. (a) How many commuters take both the bus and the subway? (b) How many commuters take only the subway?
A survey of 1900 commuters in New York City showed that 1120 take the subway, 620 take the bus, and 170 do not take either the bus or the subway. (a) How many commuters take both the bus and the subway? (b) How many commuters take only the subway?
Chapter9: Sequences, Probability And Counting Theory
Section: Chapter Questions
Problem 32RE: In a group of 20 musicians, 12 play piano, 7 play trumpet, and 2 play both piano and trumpet. How...
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Question
A survey of 1900 commuters in New York City showed that 1120 take the subway, 620 take the bus, and 170 do not take either the bus or the subway.
(a) How many commuters take both the bus and the subway?
(b) How many commuters take only the subway?
(b) How many commuters take only the subway?
Expert Solution
Step 1
Introduction:
Consider the commuters to be a sample of universal set and similarly for the subway and bus commuters. And use the set properties to answer the question.
Given:
Total number of commuters=1900
taking subway=1120
taking bus=620
not taking both=170
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