﻿ 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. : Kaysons Education

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.

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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 .

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