Question

Using the digits $3,5$ and $7$ write all possible three digit number and arrange them in ascending order​

Answer 1

Step 1 : For writing all possible three digit number by using the digits $3,5$ and $7$ :

Keeping $3$ at unit's place, three digit number obtained are $357$ and $375$.
Keeping $5$ at unit's place, three digit number obtained are $537$ and $573$
Keeping $7$ at unit's place, three digit number obtained are $735$ and $753$

Step 2 : To arrange them in ascending order :

Both the numbers $357$ and $375$. have same digit, namely $3$, at hundreds place. But the digits at tens place are $5$ and $7$ respectively.

Clearly, $5<7$

So, $357<375$

Both the numbers $537$ and $573$. have same digit, namely $5$, at hundreds place. But the digits at tens place are $3$ and $7$ respectively.

Clearly, $3<7$

So, $537<573$

Both the numbers $735$ and $753$. have same digit, namely $7$, at hundreds place. But the digits at tens place are $5$ and $3$ respectively.

Clearly, $3<5$

So, $735<753$

Therefore, the ascending order is $357<375$$<537<573<735<753$

Hence, all possible three digit numbers are $357$, $375$, $537$, $573$, $735$, $753$ and their ascending order is $357<375$$<537<573<735<753$.