2006 AMC 12A Question 24 - thichhoctoan.com

Question 24

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?

$6018$
$671{,}676$
$1{,}007{,}514$
$1{,}008{,}016$
$2{,}015{,}028$