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If there are 60 books in the college library. In how many ways will these books be arranged on the shelves if 3 of the books are taken at a time with order of arrangement of the books considered

User Joshhendo
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1 Answer

5 votes

Answer:

205,320

Explanation:

If order matters this is a permutation problem (as opposed to a combination problem). The permutation of this situation is

₆₀P₃ =
(60!)/((60-3)!) and is solved:


(60*59*58*57!)/(57!)

The 57 factorials cancel out, leaving us with 60*59*58 which comes to 205,320 different ways to pick 3 books if order matters.

User Kevswanberg
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