SOLUTION: Using the digit set (0,1,2,3,4,5) how many 4-digit numbers can be formed if the number must end in zero?

Algebra ->  Permutations -> SOLUTION: Using the digit set (0,1,2,3,4,5) how many 4-digit numbers can be formed if the number must end in zero?      Log On


   

Question 885013: Using the digit set (0,1,2,3,4,5) how many 4-digit numbers can be formed if the number must end in zero?
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
Choose the most restrictive digit first, which is the last digit.

Choose the last digit 1 way (as 0)
Choose the first digit any of the 5 remaining ways. 
Choose the second digit any of the 4 remaining ways.
Choose the third digit any of the 3 remaining ways.
Choose the fourth digit any of the 2 remaining ways.

Answer: 1x5x4x3x2 = 120 ways

Edwin