SOLUTION: A door lock has a 5 number keypad. How many different three digit codes are possible if the same number cannot be used twice in a row ?

Algebra.Com
Question 927030: A door lock has a 5 number keypad. How many different three digit codes are possible if the same number cannot be used twice in a row ?
Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
We choose the middle number first, any of 5 ways.
We choose the 1st number any of 4 ways.
We choose the 3rd digit also any of 4 ways.

That's 5*4*4 = 80 ways.

Edwin


RELATED QUESTIONS

How many different 5 digit codes are possible using the keypad show ,if the frist digit... (answered by MathLover1)
how many different 5-digit codes are possible using the keypad shown at the right if the... (answered by jorel1380)
The code for a lock consist of 5 digits.the last number cannot be 0 or 1. How many... (answered by edjones)
how many three-digit area codes are possible if the first digit cannot be a... (answered by Edwin McCravy)
A combination lock has 5 different numbers. If each number can only be used ONCE, how... (answered by fcabanski)
Can someone help me with this? Outside a home, there is a 5-key keypad with letters... (answered by Alan3354)
A lock has three dials with the digits 0-9. How many codes to open the lock are possible? (answered by Alan3354)
A briefcase lock opens with the correct 4-digit code. If the digits can be any number... (answered by Alan3354,ikleyn)
A garage door has 5 digits. If no digit is repeated twice, how many codes are... (answered by amarjeeth123)