16.) A group of 2 professors and 5 students (3 grad students and 2 undergrads) go to a movie together. The professors want to sit together, and the grad students want to sit together. How many ways are there to seat this group in a row of 7 seats?

16.) A group of 2 professors and 5 students (3 grad students and 2 undergrads) go to a movie together. The professors want to sit together, and the grad students want to sit together. How many ways are there to seat this group in a row of 7 seats?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

Note: In this problem set, the notation C(n, k) is used for
the combination "n choose k." Alternate notation: ( )

16.) A group of 2 professors and 5 students (3 grad students and 2 undergrads) go to a movie
together. The professors want to sit together, and the grad students want to sit together. How
many ways are there to seat this group in a row of 7 seats?

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