SATHEE: Permutations And Combinations Question 325

Permutations And Combinations Question 325

Question: 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

Options:

A) 346

B) 140

C) 196

D) 280

Show Answer

Answer:

Correct Answer: C

Solution:

[c] As for given question two cases are possible. (i) Selecting 5 out of first five question and 6 out of remaining 5 question $ {{=}^{5}}C_4{{\times }^{8}}C_6=140 $ choices. (ii) Selecting 5 out of first five question and 5 out of remaining 8 questions $ {{=}^{5}}C_5{{\times }^{8}}C_5=56 $ choices. Therefore, total number of choices $ =140+56=196. $

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Permutations And Combinations Question 325

Question: 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

Options:

Answer:

Solution:

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