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The Mabini Book Store (MBS) is reducing the prices of Mathematics books for promotion. The store has 6 Algebra books, 6 Geometry books, and 5 Statistics books to be arranged on a shelf. Books of the same kind are to be placed beside each other. How many ways can these books be arranged on a shelf?

Correct answer:

n =  373248000

Step-by-step explanation:

a=6 b=6 c=5  n1​=a!=6!=720 n2​=b!=6!=720 n3​=c!=5!=120  n=3!⋅ n1​⋅ n2​⋅ n3​=3!⋅ 720⋅ 720⋅ 120=373248000

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Showing 2 comments:
Andrea
Can you put the explanation of that? I actually want to know how you do it. Thank you

Rishi
@Andrea, first, calculate how many ways to arrange each type of book individually. Each algebra book has 6! ways of being arranged. Each geometry book has 6! ways of being arranged. Each statistics book has 5! ways of being arranged. Now, there are three groups of books, so there are 3! ways of arranging them on the shelf. 6!*6!*5!*3! = 373248000

2 years ago  1 Like




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