From 7 men and 5 ladies a committee of 4 is to be formed. If Mrs. X is not willing to join the committee in which Mr.Y is a member whereas Mr. Y is willing to join the committee only if Mrs. Z is included, how many such committees in all are possible?

Four cards are drawn at random from a pack of 52 plating cards. Find the probability of getting all the four cards of the same suit

A set of cards bearing the number 200-299 is used in a game. if card is drawn at random, what is the probability that it is divisible by:

A card is drawn from a pack of 52 cards .The probability of getting a queen of club or king of heart is

Four unit squares are chosen at random on a chessboard. What is the probability that three of them are of one colour and fourth is of opposite colour?

Which letter is such that the difference of its integer-code with the integer-code of T is the same as that between the integer-codes of N and S?

What is the probability that a non-leap year has 53 Fridays?

Organising a party requires a lot of effort. In a buffet salad party, the host had 4 differentvegetables for salads. How many different salads can a guest make from the four vegetables -lettuce, cucumber, carrot, and mushrooms, if even a single vegetable is a salad ?

Three unbiased coins are tossed. What is the probability of getting at most two heads?

In a game there are 70 people in which 40 are boys and 30 are girls, out of which 10 people are selected at random. One from the total group, thus selected is selected as a leader at random. What is the probability that the person, chosen as the leader is a boy?