MathDB

2018 PUMaC Live Round 8.1

Source:

January 13, 2019

PuMACLive Round

Problem Statement

Let

a

b

, and

c

be such that the coefficient of the

x^ay^bz^c

term in the expansion of

(x+2y+3z)^{100}

is maximal (no other term has a strictly larger coefficient). Find the sum of all possible values of

1,000,000a+1,000b+c