Question

The sum of all the four digit numbers that can be formed with $0,2,3,5$ is (repetition not allowed)

• A. $66660$
• B. $66480$
• C. $64440$
• D. $65520$

Answer 1

Answer: (C)

$64440$

Let us consider numbers which include $0$ in the first place

Now, sum of all four digit numbers formed $=$ Sum of all numbers $-$ Sum of numbers with $0$ in the first place.

Sum of all the numbers $=6(2+3+5+0)(1000+100+10+1)=66660$

Sum of numbers with $0$ in first place $=2(2+3+5)(100+10+1)=2220$

Hence, the answer $=66660-2220=64440$.