Question

Five-digit numbers are formed using only 0, 1, 2, 3, 4 exactly once. What is the difference between the maximum and minimum number that can be formed?

• A. 19800
• B. 41976
• C. 32976
• D. None of these

Hint:

When forming the largest and smallest numbers, arrange the digits in descending order for the maximum and ascending order (excluding 0 from the leftmost digit) for the minimum.

Answer 1

The Correct Option is C

The largest five-digit number that can be formed using 0, 1, 2, 3, 4 exactly once is: \[ \text{Maximum number} = 43210. \] The smallest five-digit number that can be formed using 0, 1, 2, 3, 4 exactly once is: \[ \text{Minimum number} = 10324. \] The difference between the maximum and minimum numbers is: \[ 43210 - 10324 = 32976. \]