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The Happy Valley Kennel has 4 chickens, 1 dog, and 6 cats. (Some people in Happy Valley like to keep chickens as pets!) In how many ways can the 11 animals be placed in a row of 11 cages, such that all of the animals of each type are in adjacent cages? (Two animals of the same species are considered distinguishable.)

 Mar 15, 2021
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To solve this problem we can just multiply 4! and 5! with 3! (because they are adjacent)

 

3!*4!*5!=17280

 

The answer is 17280

 

Yay!

 Mar 15, 2021

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