Answer
8
Work Step by Step
$3C3 + 3C2 + 3C1 + 3C0$
$3!/(3-3)!3! + 3!/(3-2)!2! +3!/(3-1)!1! + 3!/(3-0)!0!$
$6/0!3! + 6/1!2! + 6/2!1! + 6/3!*1$
$6/6*1 + 6/2 + 6/2 + 6/6*1$
$1 + 3 + 3 + 1 = 8$
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