Difference between revisions of "2023 IOQM/Problem 17"
(Created page with "Consider the set <cmath>S = {(a, b, c, d, e) : 0 < a < b < c < d < e < 100}</cmath> where a, b, c, d, e are integers. If D is the average value of the fourth element of such a...") |
|||
| Line 1: | Line 1: | ||
| − | Consider the set | + | Consider the [[set]] |
| + | ==Problem== | ||
<cmath>S = {(a, b, c, d, e) : 0 < a < b < c < d < e < 100}</cmath> | <cmath>S = {(a, b, c, d, e) : 0 < a < b < c < d < e < 100}</cmath> | ||
| − | where a, b, c, d, e are integers. If D is the average value of the fourth element of | + | where <math>a, b, c, d, e</math> are integers. If <math>D</math> is the [[average]] value of the fourth element of |
| − | such a tuple in the set, taken over all the elements of S, find the largest integer less | + | such a tuple in the [[set]], taken over all the [[elements]] of S, find the largest [[integer]] less |
than or equal to D. | than or equal to D. | ||
![\[S = {(a, b, c, d, e) : 0 < a < b < c < d < e < 100}\]](http://latex.artofproblemsolving.com/5/a/1/5a19175e855e1e75dbe778ea39640fe14c646967.png)
where 
are integers. If 
is the 
