SOLUTION: In how many ways can 3 different books be chosen from 7 different books and arranged in 3 space on a shelf?

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Question 1090292: In how many ways can 3 different books be chosen from 7 different books and arranged in 3 space on a shelf?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Looking at the shelf, you see 3 positions:
left, middle and right.
You have 7 choices for a book to place in the left position.
For each of those choices, you would have 6 books left to choose from for the book to place in the middle position.
So far, that would give you 7%2A6 different possibilities.
For each of those, there would be 5 different ways to choose the book to place on the right position.
All in all, there are 7%2A6%2A5=210 different arrangements for 3 books chosen from a set 7 books.