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The difference between the greatest number and the smallest number of 5 digits 0,1,2,3,4 using all but once is-
  • a)
    32976
  • b)
    32679
  • c)
    32769
  • d)
    None of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The difference between the greatest number and the smallest number of ...
The biggest five digit number possible from those numbers is 43210
The smallest 5 digit number possible is 10234 (The number can't start with 0 as it will then become a 4 digit number)
The difference = 43210 - 10234 = 32976
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Most Upvoted Answer
The difference between the greatest number and the smallest number of ...
The Difference between the Greatest and Smallest 5-Digit Number using all but once (0, 1, 2, 3, 4)

To find the difference between the greatest and smallest 5-digit number using all but once from the given digits (0, 1, 2, 3, 4), we need to determine the maximum and minimum possible numbers that can be formed.

Step 1: Arrange the digits in ascending order
To find the smallest number, we need to arrange the digits in ascending order:
0, 1, 2, 3, 4

Step 2: Arrange the digits in descending order
To find the greatest number, we need to arrange the digits in descending order:
4, 3, 2, 1, 0

Step 3: Calculate the difference between the greatest and smallest numbers
Now, we can calculate the difference between the greatest and smallest numbers using the following formula:
Difference = Greatest Number - Smallest Number

Calculating the Smallest Number
By arranging the digits in ascending order, we get the smallest number:
0, 1, 2, 3, 4
So, the smallest 5-digit number is 01234.

Calculating the Greatest Number
By arranging the digits in descending order, we get the greatest number:
4, 3, 2, 1, 0
So, the greatest 5-digit number is 43210.

Calculating the Difference
Now, we can calculate the difference between the greatest and smallest numbers:
43210 - 01234 = 32976

Therefore, the difference between the greatest and smallest 5-digit number using all but once from the given digits (0, 1, 2, 3, 4) is 32976.

Hence, the correct answer is option A) 32976.
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