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AP EAMCET · Maths · Permutation Combination

A student is to answer 10 out of 13 questions in an examination such that he must choose at least 4 from the first five questions. The number of choices available to him is

  1. A \(196\)
  2. B \(140\)
  3. C \(168\)
  4. D \(176\)
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Answer & Solution

Correct Answer

(A) \(196\)

Step-by-step Solution

Detailed explanation

Total number of questions \(=13\) Now of questions to be selected \(=10\) Restriction - At least 4 from first 5 questions are to be selected. Case I If exactly 4 out of first 5 questions are selected. Number of ways of selecting 4 questions from 5 questions \(={ }^5 C_4=5\)…
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