1. Tardigrade
  2. Question
  3. Mathematics
  4. 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.

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. 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___.

JEE MainJEE Main 2022Permutations and Combinations

Solution:

$x _{1}+ x _{2}+ x _{3}+ x _{4}+ x _{5}=5$
Only one possibilities $3,3,3,-2,-2$
Number of ways is $=\frac{5 !}{3 ! 2 !} \times 2 \times 2=40$