Find sum of greatest and least 6-digit numbers formed by digits 2,0,4,7,6,5 (using each digit once).
1064201
Step 1: Form the greatest 6-digit number
Arrange digits in descending order.
\(7,\ 6,\ 5,\ 4,\ 2,\ 0\)
Greatest number = \(765420\)
Step 2: Form the least 6-digit number
A 6-digit number cannot start with \(0\).
Choose the smallest non-zero digit first: \(2\).
Then place the remaining digits in ascending order, putting \(0\) next: \(0,\ 4,\ 5,\ 6,\ 7\).
Smallest number = \(204567\)
Step 3: Add them
\(765420\ +\ 204567\)
\(=\ 969987\)
Answer: \(969987\)