MathDB
IOQM 2023-24 P-17

Source:

September 3, 2023

Problem Statement

Consider the set S={(a,b,c,d,e):0<a<b<c<d<e<100} \mathcal{S}=\{(a, b, c, d, e): 0<a<b<c<d<e<100\} where a,b,c,d,ea, b, c, d, e are integers. If DD is the average value of the fourth element of such a tuple in the set, taken over all the elements of S\mathcal{S}, find the largest integer less than or equal to DD.
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