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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Gene

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58 Answers

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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