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Q: What is the difference between the largest 4 digit numbers with repetition and the smallest 3 digit number with repitition?

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8888

9999

9999 - 102 = 9897

9774

1

9999-1023 = 8976

9999 - 102 = 9897

If you consider whole numbers, the largest 5 digit number with repetition is 99999 the smallest 4 digit number without repetition is -9876 Their difference is 99999 - (-9876) = 99999 + 9876 = 109875.

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.

9876-102 9704

The largest number with no repetition of digits (if that is what is meant) is 9876543210. The "smallest" number with no repetition is the negative of that if we allow negative numbers so the difference is zero. If by "smallest" we mean non-negative number, the smallest number with no repetition is 0 so the difference is the original number, 9876543210. If by "smallest" we mean smallest positive number, the smallest positive number without repeating digits is .01, so the difference is 9876543209.99. The unambiguous way to write a number smaller than 1 is to prefix it with "0." To be extremely precise, if by "no repetition" you mean to require that form and to exclude 0.01 because there are two zeros, then the smallest positive number "without repetition" is 0.1 and the difference is 9876543209.9. Everything depends on exactly what is meant by the question. It is important to avoid ambiguity in mathematics - and in everything else.

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