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?
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 : 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 × 4 × 4 × 4 × 4=1024