AMC 12A 2006 Problem 24

Past Contests AMC 12 2006 Part A
, , , ,
1

The expression

(x+y+z)^{2006}+(x-y-z)^{2006}

is simplified by expanding it and combining like terms. How many terms are in the simplified expression?

Answer Choices
A. 6018
B. 671,676
C. 1,007,514
D. 1,008,016
E. 2,015,028