Sum of 6 cards being multiple of 6 I pick 6 cards from a set of 13 (ace-king). If ace = 1 and jack,queen,king = 10 what is the probability of the sum of the cards being a multiple of 6? 
Tried so far:
I split the numbers into sets with values:
6n, 6n+1, 6n+2, 6n+3
like so:
{6}{1,7}{2,8}{3,9}{4,10,j,q,k}{5}
and then grouped the combinations that added to a multiple of 6:
(5c4)(1c1)(2c1) + (2c2)(2c2)(2c2) + (5c4)(2c2) + (5c2)(1c1)(1c1)(2c1)(2c1)
/ (13c6)
= 10/1716
I am almost certain I am missing combinations but am having trouble finding out which.

Answer:
Repetition of 10 is not the same as they represent different cards.  I have done it through brute force.  Hopefully I have captured everything.
Good luck
Satish
