Six text books numbered 1, 2, 3, 4, 5 and 6 are arranges at random. What is the probability that the text books 2 and 3 will occupy consecutive places ?

Eleven books, consisting of five Engineering books, four Mathematics books and two Physics books, are arranged in a shelf at random. What is the probability that the books of each kind are all together?

A bag contains 6 coupons numbered 1, 2, 3, 4, 5 and 6. Five coupons are drawn and the coupons are placed in a row at random. What is the probability that the number read will be divisible by 6?

From the set of numbers {1,2,3,...,10} , 4 numbers are selected at random. The probability that all of the selected numbers are consecutive is

From the set of numbers {1,2,3,...,10} , 4 numbers are selected at random. The probability that at least 2 of the selected numbers are consecutive is

From the set of numbers {1,2,3,...,10} , 4 numbers are selected at random. The probability that at least 2 of the selected numbers are consecutive is

Five different objects A_1,A_2,A_3,A_4,A_5 are distributed randomly in 5 places marked 1, 2, 3, 4, 5. One arrangement is picked at random. The probability that in the selected arrangement, none of the object occupies the place corresponding to its number, is

Four different objects 1,2,3,4 are distributed at random on four places marked 1,2,3,4 . What is the probability that none of the objects occupies the place corresponding to its number?

Five different objects A_(1),A_(2),A_(3),A_(4),A_(5) are distributed randomly in 5 places marked 1,23,4,5. One arrangement is picked at random. The probability that in the selected arrangement,none of the object occupies the place corresponding to its number,is

A bookshelf contains 40 books marked with numbers 1 to 40 . If one book is drawn from this shelf at random, then the probability that the number on the book is a perfect square is