MathDB
Problems
Contests
National and Regional Contests
USA Contests
MAA AMC
AMC 10
2002 AMC 10
20
At least one 2, at least one 3
At least one 2, at least one 3
Source:
April 2, 2013
complementary counting
Problem Statement
How many three-digit numbers have at least one
2
2
2
and at least one
3
3
3
?
<
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c
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a
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a
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b
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(
A
)
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52
<
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(
B
)
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54
<
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(
C
)
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56
<
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(
D
)
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58
<
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(
E
)
<
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60
<span class='latex-bold'>(A) </span>52\qquad<span class='latex-bold'>(B) </span>54\qquad<span class='latex-bold'>(C) </span>56\qquad<span class='latex-bold'>(D) </span>58\qquad<span class='latex-bold'>(E) </span>60
<
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(
A
)
<
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>
52
<
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x
−
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(
B
)
<
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>
54
<
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p
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a
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x
−
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>
(
C
)
<
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an
>
56
<
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t
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x
−
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o
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>
(
D
)
<
/
s
p
an
>
58
<
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an
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l
a
ss
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l
a
t
e
x
−
b
o
l
d
′
>
(
E
)
<
/
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p
an
>
60
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