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

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In summary, the conversation discusses a permutation question involving eight digit even numbers with the digits 7, 5, 4, 5, 7, 5, 0, and 7. The individual seeking help asks for a step-by-step explanation and gives some initial considerations. The responder suggests taking one digit at a time and narrowing down the possibilities, starting with the first digit. The conversation continues with further guidance on how to approach the problem.
  • #1
Raerin
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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.
 
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  • #2
Raerin said:
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?
 
  • #3
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?
 

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

What is a permutation question?

A permutation question is a type of mathematical problem that involves determining the number of possible arrangements or orders of a set of items or elements.

How do you solve a permutation question?

To solve a permutation question, you need to identify the number of items or elements in the set and the specific conditions or restrictions given in the problem. Then, use the appropriate formula (nPr or n!) to calculate the number of possible arrangements.

What is the difference between a permutation and a combination?

A permutation involves determining the number of possible arrangements of a set of items where the order matters, while a combination involves determining the number of ways to choose a subset of items from a larger set where the order does not matter.

What is the formula for calculating permutations?

The formula for calculating permutations is nPr = n! / (n-r)!, where n is the total number of items or elements and r is the number of items being selected or arranged.

Can permutation questions be applied to real-life situations?

Yes, permutation questions can be applied to real-life situations, such as determining the number of possible seating arrangements at a dinner party or the number of possible outcomes in a game of cards. They are also commonly used in statistics and probability problems.

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