What is the difference between the greatest and smallest four digit numbers which are made by using 3, 9, and 7 in which any one digit can be used twice?

6954

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9654

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6594

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3379

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Solution

The correct option is C 6594
To obtain the greatest 4 digit number; put the greatest number at the extreme left, then put the remaining digits in descending order of their values.
Greatest four digit number made = 9973
To obtain the smallest 4 digit number; put the smallest number at the extreme left, then put the remaining digits in ascending order of their values.
Smallest four digit number made = 3379
Difference between greatest and smallest numbers = 9973 – 3379 = 6594

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