Find the greatest four-digit number in which all the digits are different.

Question

ScanSolve AI Tutor · Accepted Answer

To find the greatest four-digit number with all different digits, we need to use the largest possible digits for each place value, starting from the leftmost digit (thousands place).

For the thousands place, choose the largest available digit, which is 9.
For the hundreds place, choose the largest remaining digit.
Since 9 is used, the next largest is 8.
For the tens place, choose the largest remaining digit.
Since 9 and 8 are used, the next largest is 7.
For the units place, choose the largest remaining digit.
Since 9, 8, and 7 are used, the next largest is 6.

Combining these digits in order gives the greatest four-digit number with all different digits.
$9876$
The greatest four-digit number in which all the digits are different is $\boxed{\text{9876}}$ .

Find the greatest four-digit number in which all the digits are different.

Answer

Step-by-step solution

For the thousands place, choose the largest available digit, which is 9.

For the hundreds place, choose the largest remaining digit.

For the tens place, choose the largest remaining digit.

For the units place, choose the largest remaining digit.

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