Multiple choice

There are 4 candidates for the post of a lecturer in Mathematics and one is to be selected by votes of 5 men. What is the number of ways in which the votes can be given?

  1. 1048

  2. 1072

  3. 1024

  4. 625
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C Correct answer
Explanation

Each of the 5 men has 4 choices for whom to vote. Since each man's vote is independent, the total number of ways is 4 multiplied by itself 5 times, which is 4^5 = 1024.

AI explanation

Each of the 5 men can vote for any one of the 4 candidates. Using the multiplication principle, the total number of ways the votes can be given is calculated by multiplying the choices for each man. Therefore, the total ways are 4 multiplied by itself 5 times, written as 4 to the power of 5, which equals 1024.

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