Question

The sum of all $4$ - digit numbers that can be formed using the digits $2,3,4,5,6$ without repetition, is

• A. 533820
• B. 532280
• C. 533280
• D. 532380

Answer 1

Answer: (C)

We have, digits $2,3,4,5,6$
Sum of all $4$-digit numbers formed by the using $2,3,4,5,6$ without repetition
$={}^4{P}_3(2+3+4+5+6)\left(10^3+10^2+10^1+10^0\right)$
$=24(20)(1000+100+10+1)$
$=(480)(1111)=533280$