Would you please explain the steps you used to get the answer 2469.
Thank you
Using the 9 digits, 1, 2, 3, 4, 5, 6,7, 8 and 9 you can arrange four different digits
to form a four-digit number that is NOT divisible by 7. The digits 1238 cannot be arranged to create a four-digit number that is divisible by 7. The digits 1389 also cannot be arranged to form a four-digit number that is divisible by 7. Find one additional set (not 1238 or 1389) of four different digits that is not divisible by 7. Provide the digits to form the smallest four digit value.
Will you Please explain the answer also. Thank You
To find the answer to the provided question, we need to follow the given criteria: using the digits 1, 2, 3, 4, 5, 6, 7, 8, and 9, we need to arrange four different digits to form a four-digit number that is NOT divisible by 7.
First, we can eliminate the digits 1, 2, 3, and 8 as they have already been used in the examples given (1238 and 1389) and do not meet the criteria.
We are left with the digits 4, 5, 6, 7, and 9. To create the smallest four-digit number, we should place the smallest digits in the thousands and hundreds place. So, we can start with the digit 4 in the thousands place.
Next, we have four digits remaining: 5, 6, 7, and 9. We can take the digit 5 and place it in the hundreds place.
Now, we have three digits remaining: 6, 7, and 9. Let's take the digit 6 and place it in the tens place.
Finally, we are left with two digits: 7 and 9. We can take the digit 7 and place it in the ones place.
Putting it all together, the smallest four-digit number that meets the given criteria is 4567.