Find the number of zeros at the end of 10×9×8×7×6×5×4×3×2×1.

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Solution

in this only multiplication of even number with 5 give zero and multiplication of any natural number with 10 give zero. that is factorial must contain 5
here 10 = 5 x 2 , contain 5
total number of 5 = 2
total number of zeros at the end of 10×9×8×7×6×5×4×3×2×1. is 2
answer is 2

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