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Jason wants to dine at three different restaurants during a summer getaway. If two of six available restaurants serve​ seafood, find the number of ways that at least one of the selected restaurants will serve seafood given the following conditions.
The order of selection is important.

Respuesta :

letmeanswer

54 is the answer

Explanation:

If order is important, permutations can be used to find the number of ways the event can take place

Number of ways to select any 3 out of 5 in a particular order = 5P3

[tex]=5 ! /(5-3) ![/tex] = 60

Number of restaurants serving seafood = 2 , Number of restaurants not serving seafood = 3

Number of selections in which all restaurants do not serve seafood = 3P3 = 6

Number of ways such that at least one of the selected restaurants will serve seafood = Total number of selections - Number of selections in which all restaurants do not serve seafood

= 60 minus 6  = 54

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