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1. How many ways can 5 Geometry, 4 Statistics and 3 Algebra books be arranged on a
shelf if they are arranged

a. in any order?

b. according to subject?

c. in order: Geometry, Statistics, Algebra?

permutations pa solve po Yong tatlong letters plseas po



Sagot :

Answer:

a. 5 + 4 + 3 = 12

P(n,r) = P(12,12)  

= 12!/(12−12)!

= 4.790016E+8

= 479,001,600

479,001,600/(5!4!3!) = 27,720‬ ways

b. 5! x 4! x 3! x 3! = 103,680

103,680/(5!4!3!) = 6 ways

c. 5! x 4! x 3! = 1 way

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