Question

Write the greatest and smallest $5$-digit numbers with the digits:

$1,0,3$

Answer 1

For the greatest number, select the smallest digit $0$and write in the one's column. Next greater digit $1$is written in the tens column. The next greater digit $3$is written in the hundreds column. Since no digit, greater than $3$is given, we repeat $3$in the thousands column.

T-Th	Th	H	T	O
$3$	$3$	$3$	$1$	$0$

Therefore, the greatest number $=33310$

For the smallest number, select the greatest digit$3$, and write in the one's column. Next smaller digit in the tens column and so on. Repeat the smallest digit in the left-most columns. But here $1$is smaller than 3 and then comes $0$which cannot be repeated in the leftmost columns.

So, we write 1 in the leftmost column and repeat$0$ in the tens and hundreds place.

T-Th	Th	H	T	O
$1$	$0$	$0$	0	$3$

Therefore, the smallest number $=10003$