MHB Exploring the Possibilities: Solving an 8-Digit Even Number Permutation Question

[Raerin]

It's a permutation question, so I don't know where else to post this.

How many eight digit even numbers are possible with the digits 7 5 4 5 7 5 0 7?

Please explain step by step.

 

[I like Serena]

It's a permutation question, so I don't know where else to post this.

How many eight digit even numbers are possible with the digits 7 5 4 5 7 5 0 7?

Please explain step by step.

Welcome to MHB Raerin! :)

Can you give an indication what you have tried or considered?
That helps us to understand how we can best help you.
Can you for instance give a couple of examples of numbers that satisfy the criteria?

 

[shriver99]

Just to get you started, with questions asking 'how many ways?' it's often a help to take one digit at a time (first, second, third...)

For the first digit, would you agree it can only be a 7, 5 or 4? If it were a zero, this would not be an eight digit number. So, there are 3 combinations of the first digit.

Can you see now how to work toward a solution?