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Question

Question 168

Find the sum of the greatest and the least six-digit numbers formed by the digits 2,0,4,7,6,5, using each digit only once.

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Solution

Given digits are 2,0, 4, 7, 6 and 5.
Using each digit only once,
the greatest six-digit number = 765420 (descending order)
the smallest six-digit number = 204567 (ascending order)
(0 is smallest of all but it is placed after 2 because if a number starts with 0, then it will become 5 digit number.)

Now, the sum of these numbers = 765420 + 204567 = 969987


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