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Problems
Contests
National and Regional Contests
Turkey Contests
National Olympiad First Round
2014 National Olympiad First Round
4
4
Part of
2014 National Olympiad First Round
Problems
(1)
P04 [Combinatorics] - Turkish NMO 1st Round - 2014
Source:
5/21/2014
What is the probability of having
2
2
2
adjacent white balls or
2
2
2
adjacent blue balls in a random arrangement of
3
3
3
red,
2
2
2
white and
2
2
2
blue balls?
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5
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16
35
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D
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10
21
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14
<span class='latex-bold'>(A)</span>\ \dfrac{2}{5} \qquad<span class='latex-bold'>(B)</span>\ \dfrac{3}{7} \qquad<span class='latex-bold'>(C)</span>\ \dfrac{16}{35} \qquad<span class='latex-bold'>(D)</span>\ \dfrac{10}{21} \qquad<span class='latex-bold'>(E)</span>\ \dfrac{5}{14}
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5
2
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3
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35
16
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21
10
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14
5
probability