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**divinelogos** II. You are asked to select a password for a Web site. It must consist of five lowercase letters and two digits in any order. How many possible such passwords are there if (a) repetitions are allowed, and (b) repetitions are not allowed?

(a)The answer is (7c2)*(26^5)*(10^2)

I understand 7c2 (7 spots and choosing 2 numbers), however, why isn't the formula used for "with replacement", since we can use the same number in both spots? Why is 26^5 with regard to order? Also, why is 10^2 multiplied at the end? I thought that's what the 7c2 was counting.