2015 UNCO Math Contest II Problems/Problem 8
A garden urn contains colored beetles: red beetles, numbered from to , and yellow beetles, numbered from to . Beetles wander out of the urn in random order, one at a time, without any going back in. What is the probability that the sequence of numbers on the first four beetles to wander out is steadily increasing, that is, that the number on each beetle to wander out is larger than the number on the beetle before and that no number is repeated? Give your answer as a fraction in lowest terms. You may leave the numerator and denominator in a factored form.
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