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Maths question



AuthorMaths question
In how many ways can you arrange 6 people in 3 cars , such that there is 1 person in each car minimum

Looks pretty simple but it's pretty complicated, I tried a lot my answer ain't matching

Please help , Thanks
Not sure how you would get there purely mathematically, I would just set up a system to be methodical in your approach. Trick is to avoid duplicates while, still getting the different combos of the same distribution.
Eg 114 can go 3 ways
141 411

Work through all combos starting with 1, then 2 and 3. Once there you will start getting mirrors of the same thing
The possible combinations are :

4 1 1
3 2 1
2 2 2

Further I tried to solve it through permutation and combination but i failed to get the answer

Trick is to avoid duplicates while, still getting the different combos of the same distribution.
Eg 114 can go 3 ways
141 411


Dont forget that every person is unique
I feel this question is missing some details on how to perceive the persons

Anyone who tries to solve it , the correct answer is *540*
Oh okay I got the answer

This was an onto function

And after that simply using onto function formula

nC0*n^m + nC1*(n-1)^m + nC2*(n-2)^m.. until it ends

Thanks :D
Exams on door....lol
closed by Bunnie (2019-11-20 10:58:09)
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