Thread: How many ways

Hi. I have 8 similar cars which I must divide/share among 12 persons.
How many ways can the cars be divided/shared?


I think this is: n over k And is should go like this;


12!
8!

Originally Posted by stevetall

Hi. I have 8 similar cars which I must divide/share among 12 persons.
How many ways can the cars be divided/shared?


I think this is: n over k And is should go like this;


12!
8!

That question is too vague.
What does similar mean in this context.
Do you mean for this purpose they can be considered identical?

What about occupancy?
Do you mean that only eight of the people get a car?
Or do you mean all twelve must be assigned a car?
Can a car not be assigned?
Do cars have a maximum number of seats?

Please try to write a clearer question?

Hi. I have 8 same cars which I must share among 12 persons.
There are no limitations, for example I can share all the 8 cars to one person or
four cars to one person, 3 cars to one person and 1 car to one person.
1-8 person can get a car. 9 - 12 person cannot be assigned a car, because there are 8 cars.
Car must always be assigned.
Car seats don't matter.

How many ways there are that the 8 cars be divided among 12 persons?

So I think;

n over k. But could it be 12! over 8!?

12!
8!

Originally Posted by stevetall

Hi. I have 8 same cars which I must share among 12 persons.
There are no limitations, for example I can share all the 8 cars to one person or four cars to one person, 3 cars to one person and 1 car to one person.

The number of ways to put N identical objects into K different cells is

In this case

Thank you. I got this:


( 12 + 8 - 1)!
_____________

12! * ( 8 - 1 )!


= 19!
____

12! * 7!


= 121645100408832000
_______________________

479001600 * 5040


= 50388