Sergio, Kim, Jim, Maria, Sarah, Larry, and Tyrone have all been invited to a dinner party. They arrive randomly and each person arrives at a different time. a. In how many ways can they​ arrive?   b. In how many ways can Sergioarrive first and Tyrone ​last?   c. Find the probability that Sergio will arrive first and Tyrone last

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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Sergio, Kim, Jim, Maria, Sarah, Larry, and Tyrone have all been invited to a dinner party. They arrive randomly and each person arrives at a different time.

a. In how many ways can they​ arrive?
 
b. In how many ways can Sergio
arrive first and
Tyrone
​last?
 
c. Find the probability that
Sergio
will arrive first and
Tyrone
last
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