An anonymous survey of college students was taken to determine behaviors regarding​ alcohol, cigarettes, and illegal drugs. The results were as​ follows: 862drank alcohol​ regularly, 633 smoked​ cigarettes,188 used illegal​ drugs, 407 drank alcohol regularly and smoked​ cigarettes, 101 drank alcohol regularly and used illegal​ drugs, 103 smoked cigarettes and used illegal​ drugs, 82 engaged in all three​ behaviors, and 196 engaged in none of these behaviors.   ​a) How many students were​ surveyed?  Of those surveyed, b. How many drank alcohol regularly or smoked cigarettes? c. How many used illegal drugs only?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.6: Permutations And Combinations
Problem 2SC: How many different signals can be sent, when three flags are used, if two of the 9 flags are...
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An anonymous survey of college students was taken to determine behaviors regarding​ alcohol, cigarettes, and illegal drugs. The results were as​ follows: 862drank alcohol​ regularly, 633 smoked​ cigarettes,188
used illegal​ drugs, 407 drank alcohol regularly and smoked​ cigarettes,
101 drank alcohol regularly and used illegal​ drugs, 103 smoked cigarettes and used illegal​ drugs, 82 engaged in all three​ behaviors, and 196
engaged in none of these behaviors.
 
​a) How many students were​ surveyed? 
Of those surveyed, b. How many drank alcohol regularly or smoked cigarettes?
c. How many used illegal drugs only?
d. How many drank alcohol regularly and smoked cigarettes, but did not use illegal drugs?
e. How many drank alcohol regularly or used illegal drugs, but did not smoke cigarettes?
f. How many engaged in exactly two of these behaviors?
g. How many engaged in at least one of these behaviors? 
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