4 gentlemen and 3 gentlewomen are candidates for 2vacancies. A voter has to vote for 2 candidates. In how many ways can one cast his vote?  Choices
A) 11  B) 12  C) 15  D) 16  E) 21
There are 7 candidates and a voter has to vote for any two of them.   So, the required number of ways is,   = 7C2 = 21.   21
<result>E</result>
4 gentlemen and 3 gentlewomen are candidates for 2vacancies. A voter has to vote for 2 candidates. In how many ways can one cast his vote?