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Problems
Contests
National and Regional Contests
USA Contests
MAA AMC
AMC 10
2002 AMC 10
22
Zeroes Ending a Number
Zeroes Ending a Number
Source:
April 2, 2013
factorial
floor function
Problem Statement
In how many zeroes does the number
2002
!
(
1001
!
)
2
\dfrac{2002!}{(1001!)^2}
(
1001
!
)
2
2002
!
end?
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D
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200
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400
<span class='latex-bold'>(A) </span>0\qquad<span class='latex-bold'>(B) </span>1\qquad<span class='latex-bold'>(C) </span>2\qquad<span class='latex-bold'>(D) </span>200\qquad<span class='latex-bold'>(E) </span>400
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200
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400
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