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ISI B.Math Entrance Exam
2008 ISI B.Math Entrance Exam
7
B.Math 2008-Combinatorics.
B.Math 2008-Combinatorics.
Source:
April 16, 2012
Problem Statement
Let
C
=
{
(
i
,
j
)
∣
i
,
j
C=\{ (i,j)|i,j
C
=
{(
i
,
j
)
∣
i
,
j
integers such that
0
≤
i
,
j
≤
24
}
0\leq i,j\leq 24\}
0
≤
i
,
j
≤
24
}
How many squares can be formed in the plane all of whose vertices are in
C
C
C
and whose sides are parallel to the
X
−
X-
X
−
axis and
Y
−
Y-
Y
−
axis?
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