In an examination, there are 5 multiple choice questions with 3 choice

1.	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_.
Answer» x₁ + x₂ + x₃ + x₄ + x₅ = 5 Only one possibilities 3, 3, 3, -2, -2 Number of ways is = \(\frac{5!}{3!2!}\times2\times2=40\)

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_.

Answer»

x₁ + x₂ + x₃ + x₄ + x₅ = 5

Only one possibilities 3, 3, 3, -2, -2

Number of ways is = \(\frac{5!}{3!2!}\times2\times2=40\)

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