Suppose that a group of 150 students have joined at least one of the chat rooms: one on auto racing, one on bicycling, and one for college students. For simplicity, we call these rooms A, B, and C respectively. In addition, 90 students joined room A; 50 students joined room B; 70 students joined room C; 15 students joined rooms A and C; 12 students joined rooms B and C; 10 students joined all three rooms. How many students joined both chat rooms A and B? 140 students 27 students 43 students Cannot be determined

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 2CT: A hospital cafeteria offers a fixed-price lunch consisting of a main course, a dessert, and a drink....
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Suppose that a group of 150 students have joined at least one of the
chat rooms: one on auto racing, one on bicycling, and one for college students.
For simplicity, we call these rooms A, B, and C respectively. In addition,
90 students joined room A;
50 students joined room B:
70 students joined room C;
15 students joined rooms A and C;
12students joined rooms B and C:
10 students joined all three rooms.
How many students joined both chat rooms A and B?
O 140 students
D 27 students
O43 students
Cannot be determined
O O O
Transcribed Image Text:Suppose that a group of 150 students have joined at least one of the chat rooms: one on auto racing, one on bicycling, and one for college students. For simplicity, we call these rooms A, B, and C respectively. In addition, 90 students joined room A; 50 students joined room B: 70 students joined room C; 15 students joined rooms A and C; 12students joined rooms B and C: 10 students joined all three rooms. How many students joined both chat rooms A and B? O 140 students D 27 students O43 students Cannot be determined O O O
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