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Cum se calcula acest gen de exercitiu:1x2x3x4x....x999x1000-1x3x5x....x997x999

Răspuns :

 [tex]1\cdot2\cdot3\cdot4\cdot\;...\;\cdot999\cdot1000-1\cdot3\cdot\cdot5\cdot\;...\cdot997\cdot999=\\
=1\cdot3\cdot5\,...\,\cdot997\cdot999\cdot(2\cdot4\cdot\;...\;998\cdot100)=\\
=2\cdot(1*2*...*500)=2\cdot500![/tex]