Question

The difference between the greatest $5-\mathrm{digit}$ number and the greatest $5-\mathrm{digit}$ number with all different digits is

• A. $1000$
• B. $12345$
• C. $1$
• D. $1234$

Answer 1

The correct option is D

$1234$

Explanation for the correct option:

Option $D$: $1234$

The greatest $5-\mathrm{digit}$ number is $99999$.

We know the decreasing order of the whole numbers which is $9,8,7,6,5,4,3,2,1$.

So, by these whole numbers, we can form the greatest $5-\mathrm{digit}$ number with all different digits.

The greatest $5-\mathrm{digit}$ number formed is $98765$

So, the difference between the greatest $5-\mathrm{digit}$ number and the greatest $5-\mathrm{digit}$ number with all different digits$=99999-98765$

$=1234$

Hence, the correct option is option $D$.