an aquarium is housing 11 pacific oysters 13 eastern oysters 19 chilean oysters and 23 kumamoto oysters how many ways can
Question
An aquarium is housing 11 Pacific oysters, 13 Eastern oysters, 19 Chilean oysters, and 23 Kumamoto oysters. How many ways can I randomly choose 2 of each of the four species of oyster to move to a different location?
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Answer to a math question An aquarium is housing 11 Pacific oysters, 13 Eastern oysters, 19 Chilean oysters, and 23 Kumamoto oysters. How many ways can I randomly choose 2 of each of the four species of oyster to move to a different location?
use Fundamental principles of counting to get the desired number as
C\left(11,2\right)\times C\left(13,2\right)\times C\left(19,2\right)\times C\left(23,2\right) =\frac{11\times10}{2}\times\frac{13\times12}{2}\times\frac{19\times18}{2}\times\frac{23\times22}{2}=185598270
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