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?

In an election for 3 seats there are 6 candidates. Voter cannot vote for more than 3 candidates. In how many ways can he vote?

There are 7 men and 3 ladies contesting for two vacancies, an elector can vote for any number of candidates not exceeding the number of vacancies. In how many ways can be vote?

Three men have 4 coats, 5 waist coats and 6 caps. In how many ways can they wear them?

Seven athletes are participating in a race. In how many ways can the first three prizes be won?

Seven athletes are participating in a race. In how many ways can the first three prizes be won?

At an election a voter may vote for nany number of candidates , not greater than the number t be eected. There are 10 candidates and 4 are to be elected. If a voter for at lest one candidates, thene the number of ways in which he can vote is (A) 5040 (B) 6210 (C) 385 (D) 1110

Out of 6 gentlemen and 4 ladies a committee of 5 is to be formed. In how many ways can this be done so as to include at least one lady in each commiittee?

From 8 gentlemen and 4 ladies a committee of 5 is to be formed. In how many ways can this be done so as to include at least one lady?

There are 6 candidates contesting for a certainoffice n a municipal election. In how many ways can their names be listed on a ballot paper?

There are 3 candidates for a classical, 5 for a Mathematical,, and 4 for a Natural science scholarship. In how many ways can these scholarships be awarded? In how many ways one of these scholarships be awarded?