Mathematics
Write the greatest 6-digit number using three different digits.
Number System
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Answer
For the greatest 6-digit number using exactly three different digits, the digits at the higher places should be as large as possible.
Use the digit 9 as many times as possible (without exceeding three different digits in total).
Using 9 four times makes only 3 different digits (9, 8, 7) when combined with 8 and 7. Let us check: in the number 9,99,987, the digits are 9, 9, 9, 9, 8, 7. The different digits are 9, 8 and 7, which gives exactly 3 different digits.
Arranging in descending order: 9, 9, 9, 9, 8, 7.
The greatest 6-digit number = 9,99,987.
Hence, the greatest 6-digit number using three different digits is 9,99,987.
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