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In How Many Ways Can a Student Choose a Programme of 5 Courses If 9 Courses Are Available and 2 Specific Courses Are Compulsory for Every Student? - CBSE (Arts) Class 11 - Mathematics

ConceptConcept of Combinations

Question

In how many ways can a student choose a programme of 5 courses if 9 courses are available and 2 specific courses are compulsory for every student?

Solution

There are 9 courses available out of which, 2 specific courses are compulsory for every student.

Therefore, every student has to choose 3 courses out of the remaining 7 courses. This can be chosen in ""^7C_3 ways.

Thus, required number of ways of choosing the programme

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APPEARS IN

NCERT Solution for Mathematics Textbook for Class 11 (2018 to Current)
Chapter 7: Permutations and Combinations
Q: 9 | Page no. 153

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Solution In How Many Ways Can a Student Choose a Programme of 5 Courses If 9 Courses Are Available and 2 Specific Courses Are Compulsory for Every Student? Concept: Concept of Combinations.
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