WBJEE · Maths · Permutation Combination
A candidate is required to answer 6 out of 12 questions which are divided into two parts A and \(B\), each containing 6 questions and he/she is not permitted to attempt more than 4 questions from any part. In how many different ways can he/she make up hisher choice of 6 questions?
- A 850
- B 800
- C 750
- D 700
Answer & Solution
Correct Answer
(A) 850
Step-by-step Solution
Detailed explanation
\[ \begin{array}{|c|c|} \hline A & B \\ \hline 4 & 2 \\ \hline 3 & 3 \\ \hline 2 & 4 \\ \hline \end{array} \] \(\therefore\) Total number of ways \(={ }^{6} C_{4} \times{ }^{6} C_{2}+{ }^{6} C_{3} \times{ }^{6} C_{3}+{ }^{6} C_{2} \times{ }^{6} C_{4}\)…
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