Difference between revisions of "1991 AIME Problems/Problem 13"
m |
|||
| Line 1: | Line 1: | ||
== Problem == | == Problem == | ||
| + | A drawer contains a mixture of red socks and blue socks, at most 1991 in all. It so happens that, when two socks are selected randomly without replacement, there is a probability of exactly <math>\displaystyle \frac{1}{2}</math> that both are red or both are blue. What is the largest possible number of red socks in the drawer that is consistent with this data? | ||
== Solution == | == Solution == | ||
| + | {{solution}} | ||
== See also == | == See also == | ||
| − | + | {{AIME box|year=1991|num-b=12|num-a=14}} | |
Revision as of 01:39, 2 March 2007
Problem
A drawer contains a mixture of red socks and blue socks, at most 1991 in all. It so happens that, when two socks are selected randomly without replacement, there is a probability of exactly 
that both are red or both are blue. What is the largest possible number of red socks in the drawer that is consistent with this data?
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
See also
| 1991 AIME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 12 |
Followed by Problem 14 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
