four persons,A,B,C,D form a committee.One is to be president,one is to secretary, one is to be finance secretary and one should be registrar. In how many ways can these posts be asigned?
Answer given is 4!
But how can this bepossible as as there will be many ways in which each person will have more than one post,and in some ways all the posts will go to one person.
Then how to solve this problem.
The four people form a committee.
Originally Posted by baz
Hence each one will occupy one post exclusively.
If one person could perform up to all roles, the answer would be
as there would always be 4 ways to fill each position.
The factorial version bases it's result on the fact that each person assumes only one role.
4! is number of ways of arranging 4 positions, but is there any way of knowning what exactly are these permutations?
In my view, the basis of the answer(4!) is on castersian product of n sets and this does not give actual permutations.
You should use variations here because here it's important the position: It's not the same to be secretary and registrar.
The formula for variations is
where n is the number of elements and k is the number of classes.
I think we cannot use this aproach as this will goes us set of ordered triplets,so correct answer is 4!.
Originally Posted by CausingTraumaZ