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How many passwords can be constructed that have between 6

Question: 1. How many passwords can be constructed that have between 6 and 12 characters, and where the characters must be alphanumeric but not case-sensitive?

2. Find a closed form for a₁ = 1, a_n = a_n-1 + n + 1.

3. Let A = {2,4,6,8,10,12,14,16,18,20} and let B = {-1,0,1}.

(a) How many functions can be defined f : A → B? How many of those are one-to-one?

(b) How many functions can be defined f : B → A? How many of those are one-to-one?

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Mathematics: How many passwords can be constructed that have between 6

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