In how many ways can 30 marks be allotted to 8 question if each question carries at least 2 marks?

In how many ways can 8 different books be distributed among 3 students if each receives at least 2 books ?

In how many ways can 7 cross marks X be placed in the given figure so that each row has at least one cross mark?

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

In how many ways a student can attempt 6 questions from an examination paper consisting 8 questions?

There are three section A,B, C in a paper each section having 5 questions . In how many ways a student can solve exactly 5 questions taken at least one question from each section.

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?