Discussion
What is the remainder left after dividing 1!+2!+3!.....+100! by 7?
Answer: A
From \( 7! \) onward every factorial contains the factor 7, so all of them leave remainder 0.
Only the first six terms matter:
\[ 1 + 2 + 6 + 24 + 120 + 720 = 873 \]
\[ 873 = 7 \times 124 + 5 \]
So the remainder is 5.
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