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.

Why Kaysons ?

Video lectures

Access over 500+ hours of video lectures 24*7, covering complete syllabus for JEE preparation.

Online Support

Practice over 30000+ questions starting from basic level to JEE advance level.

Live Doubt Clearing Session

Ask your doubts live everyday Join our live doubt clearing session conducted by our experts.

National Mock Tests

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

Organized Learning

Proper planning to complete syllabus is the key to get a decent rank in JEE.

Test Series/Daily assignments

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

SPEAK TO COUNSELLOR ? CLICK HERE

Question

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.

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.