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In an examination, there are 5 multiple choice questions with 3 choices, out of which exactly one is correct. There are 3 marks for each correct answer, -2 marks for each wrong answer and 0 marks if the question is not attempted. Then the number of ways a student appearing in the examination gets 5 marks is _____. (in integer)
Correct answer is '40'. Can you explain this answer?
Most Upvoted Answer
In an examination, there are 5 multiple choice questions with 3 choice...
Let the student mark x correct answers and y incorrect.
So, 3x - 2y = 5 and x + y 
 5 where x, y 
 W
The only possible solution is (x, y) = (3, 2).
The student can mark the correct answer by only one choice, but for incorrect answer, there are two choices.
So, total number of ways of scoring 5 marks = 5C3(1)3 . (2)2 = 40
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In an examination, there are 5 multiple choice questions with 3 choices, out of which exactly one is correct. There are 3 marks for each correct answer, -2 marks for each wrong answer and 0 marks if the question is not attempted. Then the number of ways a student appearing in the examination gets 5 marks is _____. (in integer)Correct answer is '40'. Can you explain this answer?
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