You could search for 'Permutations with repeated objects' Here's a typical site.

Since there are 2 choices for the first digit, and the remaining 26 digits have 9, 9 and 8 repetitions, the answer is .

Grandad

PS

Since the question says to leave the answer in terms of , the alternative method is as follows:

There are 2 ways of choosing the first digit; then ways of choosing where the zeros will be positioned; then ways of choosing the positions occupied by the digit that didn't go into first place; the remaining 8 spaces are then filled automatically by the remaining 8 identical digits.

Total = , which you'll find comes to , as before.