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Problem
Problem
Number of points having position vector
a
i
+
b
j
+
c
k
ai + bj + ck
ai
+
bj
+
c
k
, where
a
,
b
,
c
∈
{
1
,
2
,
3
,
4
,
5
}
a, b, c \in \{1, 2, 3, 4, 5\}
a
,
b
,
c
∈
{
1
,
2
,
3
,
4
,
5
}
such that
2
a
+
3
b
+
5
c
2^a + 3^b + 5^c
2
a
+
3
b
+
5
c
is divisible by 4, is a. 70 b. 140 c. 210 d. 280
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