Difference between revisions of "2015 UNCO Math Contest II Problems/Problem 8"
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== Solution == | == Solution == | ||
| + | <math>\frac{157}{(18 \times 17 \times 16)} = \frac{157}{4896}</math> | ||
== See also == | == See also == | ||
Latest revision as of 02:35, 13 January 2019
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 | ||
