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egoroff_w [7]
3 years ago
5

Refer to the diagram below. If m

Mathematics
1 answer:
Debora [2.8K]3 years ago
4 0
The correct answer is 85
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pickupchik [31]

Answer: 5,760

Step-by-step explanation:

\\It was given that each dog is distinct from other dogs and each cat is distinct from other cats, Also from the hint given, the First position is for the dogs. \\Let D represent the dogs and C represent the Cat , then we have

\\D C D C D C D C D D   or

\\D  D C D C D C D C D  or

\\D C DD C D C D C D or

\\D C D C D D C D C D or

\\D C D C D C DD C D

\\Each of the arrangements above  could be done in

\\2 x 4! x 4!  ( it is constant that D is starting , so I am only left with the arrangement of the remaining 5 D's  , out of the remaining 5 D's it is also constant that tow of them will be together and this could be done in 2 ways, so I have 4! left for the D's and 4! also for the C's )

\\= 2 x 24 x 24

\\ = 1 , 152

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3 years ago
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