Five country music bands and 2 rock bands are signed up to perform at an all-day festival. How many different orders can the bands play in if the following conditions apply? (a) there are no restrictions on the order orders (b) all the bands of each type must perform in a row orders

Algebra and Trigonometry (MindTap Course List)
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Author:James Stewart, Lothar Redlin, Saleem Watson
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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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Five country music bands and 2 rock bands are signed up to perform at an all-day festival. How many different orders can the bands play in if the following conditions apply?

(a) there are no restrictions on the order
orders

(b) all the bands of each type must perform in a row
orders
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