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2018 PUMaC Live Round
8.1
8.1
Part of
2018 PUMaC Live Round
Problems
(1)
2018 PUMaC Live Round 8.1
Source:
1/13/2019
Let
a
a
a
,
b
b
b
, and
c
c
c
be such that the coefficient of the
x
a
y
b
z
c
x^ay^bz^c
x
a
y
b
z
c
term in the expansion of
(
x
+
2
y
+
3
z
)
100
(x+2y+3z)^{100}
(
x
+
2
y
+
3
z
)
100
is maximal (no other term has a strictly larger coefficient). Find the sum of all possible values of
1
,
000
,
000
a
+
1
,
000
b
+
c
1,000,000a+1,000b+c
1
,
000
,
000
a
+
1
,
000
b
+
c
.
PuMAC
Live Round