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

• A. $7^3$
• B. $3^7$
• C. ${}^7{C}_3$
• D. None of these

Answer 1

The correct option is B $3^7$

$1^{st}$ 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 $3\times 3\times 3\times 3\times 3\times 3\times 3=3^7$