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The number of elements of 7.2 formed by the digits 0 and 5.
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Step-by-step solution
3 stepsTo find the difference between the greatest and smallest numbers formed by the digits 7, 2, 0, and 5, using each digit only once, we follow these steps:
Form the greatest number.
To form the greatest number, arrange the given digits in descending order.
The digits are 7, 2, 0, 5.
Arranging them in descending order gives: 7, 5, 2, 0.
The greatest number isForm the smallest number.
To form the smallest number, arrange the given digits in ascending order. However, a number cannot start with zero if it is a four-digit number. Therefore, place the smallest non-zero digit first, followed by zero, and then the remaining digits in ascending order.
The digits are 7, 2, 0, 5.
The smallest non-zero digit is 2.
Arranging them to form the smallest number gives: 2, 0, 5, 7.
The smallest number isCalculate the difference between the greatest and smallest numbers.
Subtract the smallest number from the greatest number.
The difference between the greatest and smallest numbers is .
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