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OpenStudy (anonymous):
Big Middle-Digit Numbers60 pointsHow many three digits numbers N=abc ¯ ¯ ¯ ¯ ¯ are there such that a≤b and c≤b ? Details and assumptions abc ¯ ¯ ¯ ¯ ¯ means 100a+10b+1c , as opposed to a×b×c . As an explicit example, for a=2,b=3,c=4 , abc =234 and not 2×3×4=24 .
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