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

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K Sengupta
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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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