SOLUTION: PIRATED OR NOT Your DVD collection consists of 15 movies, 5 instrumental and 8 sitcoms. How many ways is it possible to place all DVD’s on a shelf if the DVD’s of the same type

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Question 631249: PIRATED OR NOT
Your DVD collection consists of 15 movies, 5 instrumental and
8 sitcoms. How many ways is it possible to place all DVD’s on a
shelf if the DVD’s of the same type are grouped together? If
you grab 8 of the DVD’s, how many ways can get 4 movies or 4
sitcoms?

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
PIRATED OR NOT
Your DVD collection consists of 15 movies, 5 instrumental and
8 sitcoms. How many ways is it possible to place all DVD’s on a
shelf if the DVD’s of the same type are grouped together? --------------------------------
Treating each group as a unit: 3! = 6 arrangements.
Arrangements within each group: 15!*5!*8!
---
Total # of arrangements: 6*15!*5!*8!
-------------------------------------------------
If you grab 8 of the DVD’s, how many ways can get 4 movies or 4
sitcoms?
Ans: 15C4 + 8C4
===================
Cheers,
Stan H.
===================

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