An anonymous survey of college students was taken to determine behaviors. Results were: 857 drank, 644 smoked, 198 used drugs, 394 drank and smoked, 109 drank and used drugs, 117 smoked and used drugs, 87 engaged in all three, and 184 engaged in none. a) How many students were surveyed? b) How many drank or used drugs? c) How many used drugs only? d) How many drank and smoked, but did not use drugs? e) How many drank or used drugs, but did not smoke? f) How many engaged in exactly two behaviors? g) How many engaged in at least one of these behaviors?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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An anonymous survey of college students was taken to determine behaviors. Results were: 857 drank, 644 smoked, 198 used drugs, 394 drank and smoked, 109 drank and used drugs, 117 smoked and used drugs, 87 engaged in all three, and 184 engaged in none. a) How many students were surveyed? b) How many drank or used drugs? c) How many used drugs only? d) How many drank and smoked, but did not use drugs? e) How many drank or used drugs, but did not smoke? f) How many engaged in exactly two behaviors? g) How many engaged in at least one of these behaviors?
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