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Answer :
There are 6.0339832e+13 ways to arrange 12 books out of 20 different books.
How many ways can the books be arranged
To find the number of ways 12 books can be arranged out of 20 different books, we can use the permutation formula.
By definition:
The number of permutations of n objects taken r at a time is represented as :
[tex]\[ P(n, r) = \dfrac{n!}{(n - r)!} \][/tex]
In this case:
n = 20 and r = 12
So, we have
[tex]\[ P(20, 12) = \dfrac{20!}{(20 - 12)!} \][/tex]
This gives
[tex]\[ P(20, 12) = \dfrac{20!}{8!} \][/tex]
Evaluate
[tex]\[ P(20, 12) = 6.0339832e+13}[/tex]
Hence, there are 6.0339832e+13 ways to arrange 12 books out of 20 different books.
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