Find the greatest and the smallest $4 -$ digit numbers using the digits $9, 6, 0, 7$ without repetion.

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Solution

Arranging the digits in descending order, we have $9, 7, 6, 0$
$∴ 9, 760$ is the greatest $4 -$ digit number.
Arranging the digits in ascending order, we have $0, 6, 7, 9$
$∴ 0679 = 679$ is the $3 -$ digit number.
$∴$ the smallest $4 -$ digit number is $6, 790$

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