How does a small starting population affect diversity of a colony?

Scenario: A colony of 20,000 is founded, and has no access to any further inhabitants. Assuming this colony is humans of varying traits (genetics such as skin color, eye color, etc) with no single one significantly outnumbering any other, and ignoring any other genetic issues from the population size (Inbreeding, diseases, etc), and also assuming no segregation, will the population remain diverse, or will it quickly blend together?

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How does a small starting population affect diversity of a colony?

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