Difference between the four digit smallest number and the four digit g...
The given number is 203, and we need to find the difference between the smallest and greatest four-digit numbers formed using the digits 2, 0, and 3, where the digit 3 comes twice in both numbers.
To find the smallest four-digit number, we need to arrange the digits in ascending order. The smallest digit is 0, so it should be placed in the thousands place. The next smallest digit is 2, so it should be placed in the hundreds place. Finally, we have two 3's, so one should be placed in the tens place and the other in the units place. Therefore, the smallest number formed is 2030.
To find the greatest four-digit number, we need to arrange the digits in descending order. The greatest digit is 3, so it should be placed in the thousands place. The next greatest digit is 3, so it should be placed in the hundreds place. Finally, we have 2 as the smallest digit, so it should be placed in the tens place, and 0 should be placed in the units place. Therefore, the greatest number formed is 3320.
To find the difference between the smallest and greatest numbers, we subtract the smallest number from the greatest number:
3320 - 2030 = 1290.
Therefore, the difference between the smallest and greatest four-digit numbers formed by the digits 2, 0, and 3, where the digit 3 comes twice in both numbers, is 1290.
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