4. Hugo and Viviana work in an office with eight other coworkers. Out of these 10 workers, their boss needs to choose a group of four to work together on a project. (a) How many different working groups of four can the boss choose? (b) Suppose Hugo and Viviana absolutely refuse, under any circumstances, to work together. Under this restriction, how many different working groups of four can be formed?

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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4. Hugo and Viviana work in an office with eight other coworkers. Out of these 10 workers,
their boss needs to choose a group of four to work together on a project.
(a) How many different working groups of four can the boss choose?
(b) Suppose Hugo and Viviana absolutely refuse, under any circumstances, to work
together. Under this restriction, how many different working groups of four can
be formed?
Transcribed Image Text:4. Hugo and Viviana work in an office with eight other coworkers. Out of these 10 workers, their boss needs to choose a group of four to work together on a project. (a) How many different working groups of four can the boss choose? (b) Suppose Hugo and Viviana absolutely refuse, under any circumstances, to work together. Under this restriction, how many different working groups of four can be formed?
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