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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

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Luv2Teach

Answer:

205,320

Step-by-step explanation:

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

₆₀P₃ =[tex]\frac{60!}{(60-3)!}[/tex] and is solved:

[tex]\frac{60*59*58*57!}{57!}[/tex]

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.

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