SATHEE: Permutations And Combinations Question 16

Permutations And Combinations Question 16

Question: A question paper is divided into two parts A and B and each part contains 5 questions. The number of ways in which a candidate can answer 6 questions selecting at least two questions from each part is [Roorkee 1980]

Options:

A) 80

B) 100

C) 200

D) None of these

Show Answer

Answer:

Correct Answer: D

Solution:

The number of ways that the candidate may select 2 questions from $ A $ and 4 from $ B{{=}^{5}}C_2{{\times }^{5}}C_4 $ 3 questions from $ A $ and 3 from $ B{{=}^{5}}C_3{{\times }^{5}}C_3 $ 4 questions from $ A $ and 2 from $ B{{=}^{5}}C_4{{\times }^{5}}C_2 $ Hence total number of ways are $ {{^{5}}C_2{{\times }^{5}}C_4} + {{^{5}}C_3{{\times }^{5}}C_3} + {{^{5}}C_4{{\times }^{5}}C_2} = 200 $.

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Permutations And Combinations Question 16

Question: A question paper is divided into two parts A and B and each part contains 5 questions. The number of ways in which a candidate can answer 6 questions selecting at least two questions from each part is [Roorkee 1980]

Options:

Answer:

Solution:

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