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A student is to answer 10 out of 13 ques. ,an examination such ythat he must choose at least 4 from the first 5 ques. The no. of choices available to him is-

A student is to answer 10 out of 13 ques. ,an examination such ythat he must choose at least 4 from the first 5 ques. The no. of choices available to him is-

Grade:11

4 Answers

shubham sharma
27 Points
7 years ago

its 196

from 1st 5 he can choose 4 or5 questions so

5C4.8C6 + 5C5.8C5

jitender lakhanpal
62 Points
7 years ago

there would be two cases

1) when 4 is selected from first five and rest 6 from remaining 8

we can do it by 5C4 * 8C6

 

2) when all 5 are selected from first 5 and rest 5 from remaining 8

5C5 * 8C5

add both of them you will get the answer

 

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Shubham Nikat
15 Points
2 years ago
Why 5C4×9C6 is not giving the correct answer. As the student can choose any four out of the first five questions. Then the one left out of this selection and other remaining 8 questions makes available 9 choices for selecting another 6 questions.
Rishi Sharma
askIITians Faculty 646 Points
10 months ago
Dear Student,
Please find below the solution to your problem.

there would be two cases
1) when 4 is selected from first five and rest 6 from remaining 8
we can do it by 5C4 * 8C6
2) when all 5 are selected from first 5 and rest 5 from remaining 8
5C5 * 8C5
add both of them you will get the answer

Thanks and Regards

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