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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.)

 Sep 21, 2021
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How many ways can three types of animals be arranged in a line.  That is easy. 3! = 6 ways.

 Sep 22, 2021

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