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TS EAMCET · Maths · Permutation Combination

A question paper has 3 parts \(A, B, C\). Part \(A\) contains 7 questions, part \(B\) contains 5 questions and Part \(C\) contains 3 questions. If a candidate is allowed to answer not more than 4 questions from part \(A\); not more than 3 questions from part \(B\) and not more than 2 questions from part \(C\), then the number of ways in which a candidate can answer exactly 7 questions is

  1. A 4655
  2. B 4025
  3. C 3675
  4. D 2625
Verified Solution

Answer & Solution

Correct Answer

(A) 4655

Step-by-step Solution

Detailed explanation

A question paper has 3 parts \(A, B, C\) \(A B C\) \(\downarrow \downarrow \downarrow\) \(7 \quad 5 \quad 3 \leftarrow\) No. of Question Student can take maximum 4 questions, 3 questions and 2 questions from part \(A, B\) and \(C\) respectively. The number of ways student answer…