document.write( "Question 1090292: In how many ways can 3 different books be chosen from 7 different books and arranged in 3 space on a shelf? \n" ); document.write( "

Algebra.Com's Answer #704764 by KMST(5328) $\"\"$ $\"About$

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Looking at the shelf, you see 3 positions:
\n" ); document.write( "left, middle and right.
\n" ); document.write( "You have $\"7\"$ choices for a book to place in the left position.
\n" ); document.write( "For each of those choices, you would have $\"6\"$ books left to choose from for the book to place in the middle position.
\n" ); document.write( "So far, that would give you $\"7%2A6\"$ different possibilities.
\n" ); document.write( "For each of those, there would be $\"5\"$ different ways to choose the book to place on the right position.
\n" ); document.write( "All in all, there are $\"7%2A6%2A5=210\"$ different arrangements for 3 books chosen from a set 7 books. \n" ); document.write( "

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