Refer to the table below. Of the 36 possible outcomes, determine the number for which the sum (for both dice) is from 7 through 10 inclusive. Die 2 Die 1 2 3 4 5 6 1 (1,1) (1,2) (1,3 (1,4 (1,5) (1,6) 2 (2,1) 2,2) (2,3 (2,4) (2,5) (2,6 3 (3, 1) 3, 2) (3,3 (3,4) (3,5) (3,6 4 (4, 1) (4,2) 4,3 (4,4) (4,5 (4, 6) (5,1) (5,2) (5,3) (5,4) (5,5) (5,6) (6,1) 6,2) (6,3 6,4) (6,5 6,6 There are different ways the sum of two dice can be 7 through 10 inclusive.How many counting numbers have four distinct nonzero digits such that the sum of the four digits is 10? There are such counting numbers