Difference between revisions of "2023 IOQM/Problem 17"
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==Problem== | ==Problem== | ||
Consider the [[set]] | Consider the [[set]] | ||
| − | <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 <math>a, b, c, d, e</math> are integers. If <math>D</math> 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/7/3/3/73372fbe300a30a3610d926447a885ecf1543155.png)
where 
are integers. If 
is the 
