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DISTINGUISHABLE PERMUTATION:
There are 4 copises of Mathemetics book, 5 copis of English book and 3 copies of Science book. In how many ways can be arranged on a shelf?​


Sagot :

Answer:

Given :

n = 4+5+3 = 12

n1 = 4

n2 = 5

n3 = 3

Solution:

Distinguishable Permutation:

n!

n1!n2!n3!

12!

4!5!3!

12×11×10×9×8×7×6×5×4×3×2×1

4×3×2×1×5×4×3×2×1×3×2×1

479,001,600

17,280

= 27,720