2015 UNCO Math Contest II Problems/Problem 8
Problem
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.
Solution
See also
2015 UNCO Math Contest II (Problems • Answer Key • Resources) | ||
Preceded by Problem 7 |
Followed by Problem 9 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 | ||
All UNCO Math Contest Problems and Solutions |