Question

Solution

Correct option is

2907

The maximum masks that can be assigned to any question is 16. If xi are the marks assigned to ith question, then x1 + x2 + … + x8 = 30 and 2 ≤ xi≤ 16 for i = 1, 2, … 8.

Put xi = yi + 2, so that yi ≥ 0 and y1 + y2 + … + y8 = 14.

The number of non-negative integral solutions of this equations is .

SIMILAR QUESTIONS

Q1

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

Q2

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

Q3

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

Q4

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

Q5

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

Q6

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

Q7

Let S = {1, 2, 3, ... n}. if X denote the set of all subsets of S containing exactly two elements, then the value of Q8

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

Q9

There are 15 points in a plane of which exactly 8 are collinear. Find the number of straight lines obtained by joining there points.

Q10

Find the number of rectangles that you can find on a chessboard.