In an examination, a question paper consists of 12 questions divided into two parts i.e., Part I and Part II, containing 5 and 7 questions, respectively. A student is required to attempt 8 questions in all, selecting at least 3 from each part. In how many ways can a student select the questions?

In an examination, a question paper consists of 12 questions divided i

1.	In an examination, a question paper consists of 12 questions divided into two parts i.e., Part I and Part II, containing 5 and 7 questions, respectively. A student is required to attempt 8 questions in all, selecting at least 3 from each part. In how many ways can a student select the questions?
Answer» selection for I & II when 3,5 selected `.^5C_3.^7C_5` when 4, 4 selected `.^5C_4.^7C_4` when 5,3 slected `.^5C_5.^7C_3` required = `(5!)/(3!2!) * (7!)/(5!2!) + (5!)/(4!1!)(7!)/(4!3!) + (5!)/(5!0!)(7!)/(3!4!)` = `765 + 575 + 7*5` `= 210 + 175 + 35` `= 210+210 = 420` answer

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In an examination, a question paper consists of 12 questions divided into two parts i.e., Part I and Part II, containing 5 and 7 questions, respectively. A student is required to attempt 8 questions in all, selecting at least 3 from each part. In how many ways can a student select the questions?

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