10.) Barbara is organizing her shirts in her closet. She will hang up 8 sweaters, 4 blouses, and 11 T-shirts. Answer parts a thru e.  (a) How many different arrangements of Barbara's shirts are possible? (b) If Barbara wants to hang the sweaters together, blouses together, and T-shirts together, how many arrangements are possible? (c) If Barbara hangs only the blouses together, how many arrangements are possible?

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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10.) Barbara is organizing her shirts in her closet. She will hang up 8 sweaters, 4 blouses, and 11
T-shirts. Answer parts a thru e. 
(a) How many different arrangements of Barbara's shirts are possible?
(b) If Barbara wants to hang the sweaters together, blouses together, and T-shirts together, how
many arrangements are possible?
(c) If Barbara hangs only the blouses together, how many arrangements are possible?
(d) If the blouses are not hung all together, how many arrangements are possible?
(e) If Barbara hangs half of the sweaters on each end of the row of shirts, and hangs the blouses
together and T-shirts together in between, how many arrangements are possible?

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