The Number Of Positive Integers n such That 2n divides n! Is

Four dice are rolled. The number of possible outcomes in which least one die shows 2 is

A is a set containing n elements. A subset P of A is chosen. The set A is reconstructed by replacing the elements of P. A subset Q of A is again chosen. The number of ways of choosing P and Q so that P ∩ Q = Ï• is

Let E = {1, 2, 3, 4} and F = {a, b}. then the number of onto functions from E to F is

The number of ways of arranging letters of the word HAVANA so that V and N do not appear together is

The range of function 

The number of ways of arranging letters of the word RACHIT so that the vowels are in alphabetical order is

A five digit number divisible by 3 is to be formed using the numerals 0, 1, 2, 3, 4 and 5 without repetition. The total number of ways in which this can be done is

The number of ways in which a mixed double game can be arranged from amongst 9 married couple if no husband and wife play in the same game is 

The number of times the digit 3 will be written when listing the integers from 1 to 1000 is

A class contains 4 boys and g girls. Every Sunday five students, including at least three boys go for a picnic to Appu Ghar, a different group being sent every week. During, the picnic, the class teacher gives each girl in the group a doll. If the total number of dolls distributed was 85, then value of g is