Question

Sum of all the numbers that can be formed using all the digits $2,3,3,4,4,4$ is

• A. $22222200$
• B. $11111100$
• C. $55555500$
• D. $20333280$

Answer 1

Answer: (A)

$22222200$

Since all the numbers appear a fixed number of times at a particular position for all permutations
At position k

No.	No. of times it appears
$2$	$10$
$3$	$20$
$4$	$30$
Total	$60$

Total Possible words $=60$

If all the nos are arranged and summed, the sum of each column $=2\times 10+3\times 20+30\times 4=200$
Calculating the sum
$2334444$

$2343444$

$2344344$

.

.

.

so up to

$4444323$

$4444332$

Carry over of $20$ for first column, $22$ for the other columns
So total $=22222200$