Difference between revisions of "2011 AIME II Problems/Problem 6"
| Line 1: | Line 1: | ||
Problem: | Problem: | ||
| − | Define an ordered quadruple (a, b, c, d) as interesting if <math>1 \le a<b<c< | + | Define an ordered quadruple (a, b, c, d) as interesting if <math>1 \le a<b<c<d \le 10</math>, and a+d>b+c. How many ordered quadruples are there? |
| − | and a+d>b+c. How many ordered quadruples are there? | ||
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Revision as of 10:01, 31 March 2011
Problem:
Define an ordered quadruple (a, b, c, d) as interesting if 
, and a+d>b+c. How many ordered quadruples are there?
Solution:
There is probably some really complicated formula for this, but as I didnt know it and had 3 hours to "do my best", I listed all possible combinations out. The answer is 80.
