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

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Q2

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Q3

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Q4

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Q5

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Q6

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Q7

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Q8

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Q9

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Q10

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