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The Happy Valley Kennel has 4 chickens, 2 dogs, and 5 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 chickens are in adjacent cages? (Two animals of the same species are considered distinguishable.)

 Sep 29, 2021
 #1
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I already answered this quite recently.

 

Anyway, you only have to order the 3 species so that is 3!=6

 Sep 29, 2021

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