How many ways can all the dogs be lined up for a photograph, if all the dogs of a similar breed must be next to each other? (All the beagles are together, all the rottweilers are together, and all the corgis are together) How many ways can all the dogs be lined up for a photograph if all the beagles must be kept separate from each other?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CT: Chapter Test
Problem 5CT: A commuter must travel from Ajax to Barrie and back every day. Four roads join the two cities. The...
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Snoopy Services is taking care of 10 dogs. Four of them
are beagles, two are rottweilers, and four are corgis.
How many ways can all the dogs be lined up for a
photograph?
How many ways can 7 of the dogs be lined up for a
photograph?
120
How many ways can all the dogs be lined up for a
photograph, if all the beagles must be next to each
other?
How many ways can all the dogs be lined up for a
photograph, if all the dogs of a similar breed must be
next to each other? (All the beagles are together, all
the rottweilers are together, and all the corgis are
together)
How many ways can all the dogs be lined up for a
photograph if all the beagles must be kept separate
from each other?
Transcribed Image Text:Snoopy Services is taking care of 10 dogs. Four of them are beagles, two are rottweilers, and four are corgis. How many ways can all the dogs be lined up for a photograph? How many ways can 7 of the dogs be lined up for a photograph? 120 How many ways can all the dogs be lined up for a photograph, if all the beagles must be next to each other? How many ways can all the dogs be lined up for a photograph, if all the dogs of a similar breed must be next to each other? (All the beagles are together, all the rottweilers are together, and all the corgis are together) How many ways can all the dogs be lined up for a photograph if all the beagles must be kept separate from each other?
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