If a question paper consists of 11 questions divided into two section I and II. Section I consist of 6…

If a question paper consists of 11 questions divided into two section I and II. Section I consist of 6 questions and section II consists of 5 question, then the number of different ways can student select 6 questions, taking at least 2 questions from each section, is
  1. 350
  2. 225
  3. 275
  4. 425

Solution

$\begin{array}{ccl}\text { Section-I } & \text { Section-II } & \text { No. of ways } \\ 2 & 4 & { }^6 C_2 \times{ }^5 C_4=15 \times 5=75 \\ 3 & 3 & { }^6 C_3 \times{ }^5 C_3=20 \times 10=200 \\ 4 & 2 & { }^6 C_4 \times{ }^5 C_2=15 \times 10=150 \\ & & \\ & & \text { Total }=425\end{array}$

Asked in: MHT CET 2022 (06 Aug Shift 2)

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