Mathematics
Answer
For the greatest 6-digit number using exactly four different digits, the digits at the higher places should be as large as possible.
Use the digit 9 as many times as possible. With 4 different digits in 6 positions, use 9 three times and the next three largest different digits 8, 7, 6 once each.
Total digits used: 9, 9, 9, 8, 7, 6 — four different digits (9, 8, 7, 6).
Arranging in descending order: 9, 9, 9, 8, 7, 6.
Hence, the greatest 6-digit number using four different digits is 9,99,876.
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