Let X be the maximum number of regions that a circle with 2014 chords can have. Find the sum of the digits in X.
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The maximum regions that a circle could have by intersecting an "n" number of chords is given by
Max No. of Regions X=[(n/2) (n+1)] + 1
Substitute 2014 for n
X =2029106
Sum of digits is 20.