Difference between revisions of "2023 IOQM/Problem 17"
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| + | ==Problem== | ||
Consider the [[set]] | Consider the [[set]] | ||
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<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/5/a/1/5a19175e855e1e75dbe778ea39640fe14c646967.png)
where 
are integers. If 
is the 
