There Are 15 Points In A Plane Of Which Exactly 8 Are Collinear. Find The Number Of Straight Lines Obtained By Joining There Points.   

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 S = {1, 2, 3, ... n}. if X denote the set of all subsets of S containing exactly two elements, then the value of   

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

If n is the number of ways in which an examiner can assign 30 marks to 8 questions, giving not less than 2 marks to any quation find n/40.