possible team combinations for a 5v5 draft pick.

I had a question, and found only outdated answers to it so here is MY update to it. And my math may be wrong so please correct me if I am wrong.

I came up with 1,168,740,000,000,000,000,000 possible combinations in a draft game. [one billion one hundred sixty-eight million twenty-one] How I found that figure is by 137 champs for first pick, 135 for the second pick..... {the reason I dropped by 2 is that 2 champs are removed, 1 because it has been chosen, and 1 because it was banned.} So if anyone wanted to know that a number of various games that can be played without repeating a single combination.

Also note that if the ban 10 first is in effect, then the combinations would have appeared to had changed to 758,868,000,000,000,000,000. BUT the only issue with that is there is still no way of knowing what 10 champs are going to be banned, so that is why I did not use this number set.