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A student finds 7 books of his interest, but can borrow only three books. He wants to borrow Chemistry part II book only if Chemistry Part I can also be borrowed. Find the number of ways he can - Mathematics and Statistics

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Question

A student finds 7 books of his interest, but can borrow only three books. He wants to borrow Chemistry part II book only if Chemistry Part I can also be borrowed. Find the number of ways he can choose three books that he wants to borrow.

Sum

Solution

Chemistry Part I
borrowed
Chemistry Part I
not borrowed
Only one book from remaining 5 books borrowed All three books borrowed from remaining 5 books

Number of selections

= 5C1 = 5

Number of selections

= 5C3 = 10

Required Number = 5 + 10 = 15

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Chapter 6: Permutations and Combinations - Miscellaneous Exercise 6 [Page 92]

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Balbharati Mathematics and Statistics 2 (Commerce) [English] 11 Standard Maharashtra State Board
Chapter 6 Permutations and Combinations
Miscellaneous Exercise 6 | Q 9 | Page 92

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