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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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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