Password Problem

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So I have looked through many of the password problems and I haven't seen any that really answer my problem. I have a question that needs to meet a bunch of criteria (6-8 characters, contains at least one lowercase, etc.). My current issue is that the password needs exactly 1 number and 3 specials characters. How do I figure out how many different ways I can arrange them in 6, 7, and 8 character passwords? Thanks!