Three gentlemen and three ladies are candidates for two vacancies. A voter has to vote for two candidates. In how many ways can one cast his vote?

Options

A. ` \ ^3C_1.^3C_1 `
B. ` \ ^6C_2 `
C. ` \ ^3C_1`
D. None of these

Answer

D

Explanation

There are 6 candidates and a voter has to vote for any two of them. So, the required number of ways is,


`=\ ^{6} C_{2} `


`=frac{6 !}{2 ! times 4 !} `


`=15`