Let the marks obtained in each of the five MCQ be x1,x2,x3,x4,x5
Now, x1+x2+x3+x4+x5=5
Only one possibility satisfies the above equation i.e. 3,3,3,−2,−2
Hence, total number of ways =3!2!5!×2×2=40
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 mark if the question is not attempted. Then, the number of ways a student appearing in the examination gets 5 marks is _____
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Work through every JEE Main Algebra PYQ, year by year.