Write the greatest 4-digit number using different digits with 6 in the ten’s place?

• A) 9876
• B) 9867
• C) 9687
• D) 6987

To find the greatest 4-digit number using different digits with 6 in the ten's place, we need to maximize the other digits while ensuring they are all unique. The ten's place is fixed as 6, so we will focus on the thousands, hundreds, and units places.

Analyzing the Options

• A) 9876: The ten's place is 7, not 6.
• B) 9867: The ten's place is 6, but the thousands place is 9, which is good.
• C) 9687: The ten's place is 6, but the thousands place is 9, and the hundreds place is 8.
• D) 6987: The ten's place is 6, but the thousands place is 6, which is not allowed.

Finding the Maximum

Among the valid options, B) 9867 and C) 9687 both have 6 in the ten's place. However, 9867 has a higher value in the hundreds place (8) compared to 9687 (7).

Final Decision

Therefore, the greatest 4-digit number using different digits with 6 in the ten's place is 9867.