How many string of 20 decimal digits are there that contain two 0's, four 1's, three 2's, one 3, two 4's, three 5's, two 7's, three 9's?

0 - 2
1 - 4
2 - 3
3 - 1
4 - 2
5 - 3
6 7 - 2
8 9 - 3

20!/4!3!3!3!2!2!2! = 58,663,725,120,000