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A marine biologist is studying a coral reef where there are 6 distinct species of fish. She observes that each day, a group of exactly 4 fish swim past her observation point, with no repeats in species. How many unique daily groups of 4 fish can she observe?
We are selecting 4 distinct fish species out of 6, where the order does not matter and no species is repeated. This is a combination problem.
The number of ways to choose 4 species from 6 is given by the binomial coefficient:

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