question

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this

and **thousands** of other questions.

- mathmath333

question

- jamiebookeater

I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this

and **thousands** of other questions

- mathmath333

Using the digits \(1,2,3,4\) find sum of all possible 4 digit number without repetition.

- freckles

example:
pretend we just had 1,2,3 instead...
are they saying they want:
123+132+213+231+312+321

- mathmath333

yes

Looking for something else?

Not the answer you are looking for? Search for more explanations.

## More answers

- freckles

so I would do the same thing there
like start off with the 1 and do rearrangements of the others
we should wind up with adding 4(3)(2)(1) arrangements

- freckles

24 things is a lot to add

- mathmath333

this question should have trick

- freckles

1234
1243
1324
1342
1432
1423
2134
2143
2314
2341
2413
2431
3124
3142
3214
3241
3412
3421
4312
4321
4213
4231
4123
4132

- freckles

so for the one's column we would be adding 6 amount of 4's
and 6 amount of 3's and 6 amount of 2's and 6 amount of 1's
and so on for the other columns

- mathmath333

6(1+4+3+2)

- freckles

yeah

- mathmath333

1column =60

- freckles

we will have to carry the 6

- mathmath333

6+60+600+6000

- freckles

and we would have 60 again
but 60+6

- mathmath333

6660

- freckles

|dw:1440013353312:dw|

- freckles

hmm I got a extra 6 than you

- mathmath333

ur answer is correct ?

- mathmath333

is it 66660

- freckles

|dw:1440013568285:dw|

- freckles

yes it is 66660

- freckles

|dw:1440013677810:dw|
also when I wrote this I hope you know that (60)(60)(60)(60) wasn't meant to be multiplication

- freckles

60 was in the ones digit
60 was in the tens digit
60 was in the hundreds digit
60 was in the thousands digit

- mathmath333

ok thns

- freckles

guess we could have done the same thing for
123+132+213+231+312+321
...we had 1,2,3
there were going to be 6 arrangements
there are 3 numbers
so 6/3=2
so there was going to be 2(3+2+1) for each column
which is 12
so we would have
the number (12)(12)(12) <---not multiplication; there are digits
\[12 \cdot 100+12 \cdot 10+12\]

Looking for something else?

Not the answer you are looking for? Search for more explanations.