The members of the UN peace committee must choose from among

The members of the UN peace committee, must choose, from among themselves, a presiding officer of their committee. For each member x, let f(x) designate that member\'s choice for officer. If no two members vote alike, what is the range of f?

Solution

Since each member can vote only for one person and no two members vote alike

the mapping f: x to f(x) is one to one and onto.

Hence f is a bijective function

So order of x = order of f(x)

Or Range of f = No of members of the UN Peace committee