Possible Passwords Help (combination/permutations)

Question

I'm trying to figure out how many possible passwords can be created from these three questions. Repetition is allowed.

1. $8$ characters long, at least $1$ capital, at least $1$ number
2. $8$ characters long, at least $1$ capital
3. $8$ characters, at least $1$ capital, $1$ lowercase, $1$ number, $1$ special character ($3$ total special characters)

My rough work - I'm unsure how to do this, the at "least portion" of the question confuses me....

1. $nCr(52,1)^6 \cdot nCr(10,1) \cdot nCr(26,1)$

2. $nCr(52,8)$

3. $nCr(26,1) \cdot nCr(26,1) \cdot nCr(10,1) \cdot nCr(3,1) \cdot nCr(52,1,)^4$

$52 =$ Capitals and lowercases, $10 =$ Numbers from $0-9$, $3 =$ Special Characters

Answer 1

$8$ characters long, at least $1$ capital, at least $1$ number

The complement of "at least 1" is "none".

Use the principle of inclusion and exclusion.

$$\mu(\text{Any 8 Chars})-\mu(\text{No Caps})-\mu(\text{No Digits})+\mu(\text{Neither Caps nor Digits})$$

Note that $\mu(\text{Any 8 Chars})=(26+26+10+3)^8$ when there are 26 capitals, 26 lowercase, 10 digits, and 3 special characters, and repetitions are allowed.

Solve the others similarly.