At an election, a voter may vote for any number of candidates not greater than the number to be chosen. There are 7 candidates and 4 members are to be chosen. In how many ways can a person vote ?

At an election, a voter may vote for any number of candidates not greater than the number to be elected. There are 10 candidates and 4 are to be elected. The number of ways in which a voter may vote for at least one candidate is- (A) 5040 (B) 6210 (C) 385 (D) 1110

In an election, the number of candidates is one greater than the persons to be elected. If a voter can vote in 254 ways, the number of candidates is

From a class of 32 students, 4 are to be chosen for a competition. In how many ways can this be done ?

There are 4 candidates for the post of a lecturer in Mathematics and one is to be selected by votes of 5 men. In how many ways can the votes be given ?

We wish to select 6 persons from 8, but if the person A is chosen, then B must be chosen. In how many ways can the selection be made ?

In an Examination, a candidate has to pass in each of the four subjects. In how many ways can he fail ?

There are m men and n monkeys (n > m). If a man have any number of monkeys. In how many ways may every monkey have a master?

In a village, there are 87 families, of which 52 families have atmost 2 children. In a rural development programme, 20 families are to be chosen for assistance, of which at least 18 families must have atmost 2 children. In how many ways can the choice be made ?

How many numbers greater than one lac can be formed by using the digits 2, 3,0,5, 3, 2 taken all together ?

Can you say how many number are there between 6^(2) and 7^(2) .