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In how many ways in which an examiner ca...

In how many ways in which an examiner can assign 30 marks to 8 questions, giving not less than 2 marks to any question.

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Directions: In a Mathematics exam of 50 marks, there are five questions of 1 mark each, fifteen questions 2 mark each and 3 questions of 5 mark each. Given below is a table that shows number of correct answers of some students in different categories and then total marks out of 50. Some fields have been left as empty and then respective values needs to be calculated if the need arises. Based on this information, answer the questions that follow. How many questions of 2 marks have been answered correctly by James and Mark together?