SOLUTION: The digits 1 to 7 are used to create a four-digit code to enter a locked room. How many different codes are possible if the digits may not be repeated and the code must be an even

Algebra ->  Probability-and-statistics -> SOLUTION: The digits 1 to 7 are used to create a four-digit code to enter a locked room. How many different codes are possible if the digits may not be repeated and the code must be an even       Log On


   

Question 1054845: The digits 1 to 7 are used to create a four-digit code to enter a locked room. How many different codes are possible if the digits may not be repeated and the code must be an even number bigger than 5000?
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!

The first digit is the most restrictive, so we
choose it first.

We can choose the first digit any of 3 ways, 5, 6, or 7
We can choose the second digit any of the remaining 6 ways.
We can choose the third digit any of the remaining 5 ways.
We can choose the fourth digit any of the remaining 4 ways.

Number of ways = 3*6*5*4 = 360 ways.

Edwin