Question

Form the largest and smallest $4$-digit numbers using each of the given digits only once:

$3,9,8,5$

Answer 1

Find the largest and smallest $4$- digit numbers:

Rule 1: To form the largest number, the digits are arranged in ascending order from one place. So, now we will place the smallest digit at the one place that is $3$ and the order will follow $9>8>5>3$.

Hence, the greatest number would be $9853$.

Rule 2: To form the smallest number, the digits are arranged in descending order from the one place. So now we will place the largest digit at the one place that is $9$ and the order will follow $3>5>8>9$.

Hence, smallest number would be $3589$.

Thus, the largest number is $9853$ and smallest number is $3589$.