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Question

There are 10 different books in a shelf. Find the number of ways in which 3 books can be selected so that exactly two of them are consecutive.

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Solution

10 books in a shelf
Select 3 books such that exactly two are
Consecutive Total possibilities Total possibilities(Trends)
Number of ways =6×7+7×2=56
No.of books No of books
from which from which
3rd book 3rd book
is selected is selected
when other two when other two
books are in books are in
middle either end

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