Question

There are 4 candidates for the post of a chairman, and one is to be elected by votes of 5 men. In how many ways can the vote be given?

Answer 1

Let suppose 4 candidates be C₁, C₂, C₃, C₄ and 5 men be M₁, M₂, M₃, M₄, M₅ 

Now M₁ choose any one candidates from four (C₁, C₂, C₃, C₄) and give the vote to him by any 4 ways 

Similarly, M₂ choose any one candidates from four (C₁, C₂, C₃, C₄) and give the vote to him by any 4 ways 

Similarly, M₃ choose any one candidates from four (C₁, C₂, C₃, C₄) and give the vote to him by any 4 ways 

Similarly, M₄ choose any one candidates from four (C₁, C₂, C₃, C₄) and give the vote to him by any 4 ways 

And M₅ choose any one candidates from four (C₁, C₂, C₃, C₄) and give the vote to him by any 4 ways 

So total numbers of ways are 4 x 4 x 4 x 4 x 4 = 1024