Question

The sum of all 4 digit numbers that can be formed using the digits 1,2,4,5,6 without repetition is "479952"

Answer 1

Answer:

The correct answer is 1111.

Step-by-step explanation:

Given:

The sum of all 4 digit numbers that can be formed using the digits 1,2,4,5,6.

To find:

The sum of all 4 digit numbers that can be formed using the digits 1,2,4,5,6 without repetition is "479952".

Step 1

Number of digits = 5

${ }^{(n-1)} P_{(r-1)}$ (Sum of all digits) $*$ (111............... r times)

Here, $n=5$ and $r=4$

$n-1=4$ and $r-1=3$

Step 2

Then,

${ }^{(n-1)} P_{(r-1)}$ (Sum of all digits) $*$ (11............... r times)

$= { }^{4} P_{3} \times(1+2+4+5+6) \times(1111)$

$=24*18*1111$

$=432*1111$

$=479952$

Therefore, the sum of 1111 is 479952.

#SPJ3