Q: What is the difference between the largest 4-digit number without repetition and the smallest 3-digit number without repetition?

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8888

1

The largest 4 digit number with repetition is 9999. The smallest 3 digit number without repetition is 102 9999 - 102 = 9897

9876-102=9774The largest 4 digit number, without repetition, is 9876.The smallest 3 digit number is 102.Their difference is 9774.

9888

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8888

9999

9999 - 102 = 9897

9774

1

The largest 4 digit number with repetition is 9999. The smallest 3 digit number without repetition is 102 9999 - 102 = 9897

9876-102=9774The largest 4 digit number, without repetition, is 9876.The smallest 3 digit number is 102.Their difference is 9774.

9999-1023 = 8976

9999 - 102 = 9897

If leading zeros are not allowed to make the numbers, then largest = 9876, and smallest = 1023. To get the difference, just subtract: 9876 - 1023 = 8853

9888

Largest four digit number with repetition = 9999 = x (let) Smallest Three digit number with repetition = 111 = y (let) Answer = x-y = 9999-111 = 9888 -----------------(Ans.)