An 8-digit password is required to have exactly three 0s. the other five digits can be any number between 1-7, but numbers 1-7 may not be repeated. How many possible passwords are there?
Added by Rodrigo M.
Step 1
There are 8 positions to choose from, so we can choose 3 positions in 8C3 ways, which is equal to 8! / (3! * (8-3)!) = 56. Show more…
Show all steps
Close
Your feedback will help us improve your experience
Md.Daniyal Arshad and 96 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Audrey F.
A computer password is required to be 8 characters long. How many passwords are possible if the password requires 1 letter(s) followed by 7 digits (numbers 0-9), where no repetition of any letter or digit is allowed? There are (?) possible passwords.
How many different passwords are there that contain only digits and lower-case letters and satisfy the given restrictions? Length is 7 and the password must contain at least one digit and at least one letter.
Brandon C.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD