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How Many Different Selections of 4 Books Can Be Made from 10 Different Books, Iftwo Particular Books Are Always Selected;

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Question

How many different selections of 4 books can be made from 10 different books, if
two particular books are always selected;

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Solution

Two particular books are selected from 10 books. So, 2 books need to be selected from 8 books.
Required number of ways if 2 particular books are always selected =\[{}^8 C_2 = \frac{8}{2} \times \frac{7}{1} = 28\]

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Chapter 17: Combinations - Exercise 17.2 [Page 16]

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R.D. Sharma Mathematics [English] Class 11
Chapter 17 Combinations
Exercise 17.2 | Q 8.2 | Page 16

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