I know everyone is doing it the 9c2/15c2 way..but it doesn't make sense to me this way since order wouldn't matter for the first two as long as they were new. So those would actually be combinations, no? (9*8)/2! * (15*14)/2! which doesn't yield correct answer.

I think its just a reg probability question favorable/total= 9/15 * 8/14 = 12/35

But I'm not sure.