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A large lake is home to three different types of herons: blue herons, grey herons, and paisley herons. There are 14 blue herons, 10 grey

A large lake is home to three different types of herons:

 blue herons, grey herons, and paisley herons. 

There are 14 blue herons, 10 grey herons, and 9 paisley herons. A local researcher wishes to track 13 herons, and at least two of the 13 herons selected must be blue. How many different samples are possible?


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