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Contests
National and Regional Contests
Turkey Contests
National Olympiad First Round
2010 National Olympiad First Round
4
4
Part of
2010 National Olympiad First Round
Problems
(1)
Turkey NMO 2010 1st Round - P04 (Combinatorics)
Source:
7/26/2012
How many positive integers less than
2010
2010
2010
are there such that the sum of factorials of its digits is equal to itself?
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5
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B
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4
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C
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3
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(
D
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2
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None
<span class='latex-bold'>(A)</span>\ 5 \qquad<span class='latex-bold'>(B)</span>\ 4 \qquad<span class='latex-bold'>(C)</span>\ 3 \qquad<span class='latex-bold'>(D)</span>\ 2 \qquad<span class='latex-bold'>(E)</span>\ \text{None}
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5
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(
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4
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(
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3
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2
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None
factorial