Jason wants to dine at FIVE different restaurants during a summer getaway. If THREE of NINE available restaurants serve​ seafood, find the number of ways that at least one of the selected restaurants will serve seafood given the following conditions. ​(a) The order of selection is important. ​(b) The order of selection is not important. (a) If the order is​ important, then the number of ways that at least one of the selected restaurants will serve seafood is ________________

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
Section14.1: Counting
Problem 84E
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Jason wants to dine at FIVE different restaurants during a summer getaway. If THREE of NINE available restaurants serve​ seafood, find the number of ways that at least one of the selected restaurants will serve seafood given the following conditions.

​(a) The order of selection is important.
​(b) The order of selection is not important.

(a) If the order is​ important, then the number of ways that at least one of the selected restaurants will serve seafood is ________________

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