True or False

1. Permutation of n different objects is a subset of given objects? 2. Number of signals that can be given by 5 flags of different colours using 3 flags at a time is 120? 3. Five boys and four girls can be seated on a bench so that the boys and the girls can occupy alternate seats in 20? 4. Four persons can be seated on a round table in 6 ways? 5. Number of diagonals that can be formed by joining the vertices of 10 sided figure is 35? The probability that a slip of numbers divisible by 4 is picked from the slips of numbers? The probability that an egg will be broken during delivery is 1/200, The number of broken eggs in 1000 eggs would be? The first event can occur in p different ways. After first event has occurred, the second event can occur in q different ways. The number of ways that two events can occur is ___________?

A number of three digits from the digits 0,1,2,3----9 can be formed in __________ ways when digits can be repeated? Number of arrangement of 3 books on English and 4 books in Urdu for placing on a shelf is equal to _________ when the books on the same subject are kept together? A bag contains 40 balls out of which 5are green and 15 are black. A ball is taken out of the bag. The probability that the ball is not green is __________? When the sum of dots appearing in two successive throws of two dice is 7, the probability is ________? How many 6 – digit numbers can be formed without repeating any digit from the digits 0,1,2,3,4,5 ? In how many of them will 0 be at tens place?

The Governor of Punjab calls a meeting of 12 officers. In how many ways can they be seated round a table? The members of a club are 12 boys and 8 girls. In how many ways can a committee of 3 boys and 2 girls be formed? Two fair dice, one red and the other blue, are rolled simultaneously. The numbers on the tops are added. Find the probability when the total of two scores is i. 5 ii.11? A card is drawn from a deck of 52 playing cards. What is the probability that it is a diamond card or an ace? A fair die is thrown twice. Find the probability that a prime number of dots appear in the first throw and the number of dots in the second throw is less than 5?