There are 79 students in the Travel Club. They discovered that 30 members have visited country​ A, 35 have visited country​ B, 34 have been to country​ C, 9 have visited countries A and​ B, 16 have been only to country​ C, and 17 have been only to country A. Some club members have not been to any of the three foreign countries, and,​ curiously, an equal number have been to all three countries.   ​(a) How many students have been to all three​ countries? ​(b) How many students have been only to country​ B?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CT: Chapter Test
Problem 8CT: A board of directors consisting of eight members is to chosen from a pool of 30 candidates. The...
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There are 79 students in the Travel Club. They discovered that
30 members have visited country​ A, 35 have visited country​ B, 34 have been to country​ C, 9 have visited countries A and​ B, 16
have been only to country​ C, and 17 have been only to country A. Some club members have not been to any of the three foreign countries, and,​ curiously, an equal number have been to all three countries.
 
​(a) How many students have been to all three​ countries?
​(b) How many students have been only to country​ B?
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