Permutations And Combinations Question 240

Question: There are 3 candidates for a post and one is to be selected by the votes of 7 men. The number of ways in which votes can be given is

Options:

A) $ 7^{3} $

B) $ 3^{7} $

C) $ ^{7}C_3 $

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

  • $ 1^{st} $ man can vote in 3 ways. $ 2^{nd} $ man can vote in 3 ways. Similarly all other men can vote in 3 ways individually, hence the total number of ways $ 3\times 3\times 3\times $ $ 3\times 3\times 3\times 3=3^{7} $ ways.