Each character in a password is either a digit [0-9] or lowercase letter [a - z]. How many valid passwords are there with the given restriction(s)? Length is 11. No character repeats. Must contain: o Ex: P(11, 4) * P(4,3) Write permutations as: P(n, k)

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**Password Permutations Problem**

Each character in a password is either a digit (0–9) or a lowercase letter (a–z). How many valid passwords are there with the given restriction(s)?

- **Length:** 11
- **No character repeats**
- **Must contain:** "o"

**Example:**

To solve this, consider calculating the permutations:

\[ P(11, 4) \times P(4, 3) \]

Write permutations as: \( P(n, k) \)

This notation means you are choosing \( k \) positions from \( n \) options without repetition.
Transcribed Image Text:**Password Permutations Problem** Each character in a password is either a digit (0–9) or a lowercase letter (a–z). How many valid passwords are there with the given restriction(s)? - **Length:** 11 - **No character repeats** - **Must contain:** "o" **Example:** To solve this, consider calculating the permutations: \[ P(11, 4) \times P(4, 3) \] Write permutations as: \( P(n, k) \) This notation means you are choosing \( k \) positions from \( n \) options without repetition.
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