(4-digit number)*(6-digit number) equals a factorial

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The discussion focuses on solving the cryptarithmetic equation where a four-digit number (ABCD) multiplied by a six-digit number (EFEGBH) equals the factorial of a two-digit number (EC!). Participants explore the constraints that A and E cannot be zero and emphasize the need for unique decimal digits. An example provided is 4725 multiplied by 101376, which equals 12!. The challenge lies in finding other valid combinations that satisfy the equation. The conversation highlights both the mathematical and logical reasoning required to approach such problems.
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Substitute each of the letters by a different decimal digit from 0 to 9 to satisfy this cryptarithmetic equation:

(ABCD)*(EFEGBH) = (EC)!

Note: None of A and E can be zero.
 
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4725 * 101376 = 12!
 

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