The original DVD release of Dragonball Z in the United States contains 86 DVDs. You like to watch the series before school every day. Suppose you watch a different DVD Monday through Friday. How many different viewing schedules (i.e., if you watch DVD 17 on Monday and DVD 5 on Thursday, that is different than watching DVD 5 on Monday and DVD 17 on Thursday) are possible?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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 The original DVD release of Dragonball Z in the United States contains 86 DVDs.

You like to watch the series before school every day. Suppose you watch a different DVD Monday
through Friday. How many different viewing schedules (i.e., if you watch DVD 17 on Monday and
DVD 5 on Thursday, that is different than watching DVD 5 on Monday and DVD 17 on Thursday)
are possible?

Expert Solution
Step 1

Total number of DVDs is n=86 .

Number of possible arrangements of r <n objects from n objects when repetition is not considered is given as nPr=n!n-r!n!=n×n-1×...×2×1

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