Let S = {1, 2, 3, ... n}. If X Denote The Set Of All Subsets Of S Containing Exactly Two Elements, Then The Value Of   

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

The number of positive integers n such that 2ⁿ divides n! 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    

The sum of the factors of 9! Which are odd and are of the form 3m + 2, where m is a natural number is 

Sum of all three digit numbers (no digit being zero) having the property that all digit are perfect squares, is

Let a be a factor of 120, then the number of integral solution of x₁x₂x₃ = a is