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Q: How will you put twentyone marbles in four boxes using odd number without repetition?

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8889

9774

9,876 without any number used more than once, 9,898 without side-by-side repetition, and 9,897 for a number without pattern.

9876-987=8889

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

8888

Largest 4 digit number with repetition is 9999 Largest 3 digit number without repetition is 987 Difference is 9999 - 987 = 9012.

9876 - 123= 9753

9999

9876-102 9704

repetition

1

9876 - 999 = 8877

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

Twentyone follows twenty

== ==

9999 - 102 = 9897

Assuming you meant the largest 3 digit number without repetition:Largest 4 digit without repetition = 9876Largest 3 digit = 987⇒ difference = 9876 - 987 = 8889

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.

1,023

9

1/3

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.

Assuming the term "largest" applies to both, 9999 - 987 = 9013

With repetition, there are 86 ( = 262144) such numbers. Without repetition, there are still 8!/2! = 20160.