Jacob is a librarian. He has a three-layer bookshelf for references in the school library. The top layer is for Math references (distinct books in Geometry, Trigonometry and Statistics), the middle layer is for Science references (distinct books in Biology, Chemistry and Earth Science) and the bottom layer is for English references (distinct books in Literature and Linguistics). He wants to know the number of arrangements of his books per layer.
Answers
Given : Jacob is a librarian.
He has a three-layer bookshelf for references in the school library.
The top layer is for Math references (distinct books in Geometry, Trigonometry and Statistics),
the middle layer is for Science references (distinct books in Biology, Chemistry and Earth Science) and
the bottom layer is for English references (distinct books in Literature and Linguistics).
To Find : He wants to know the number of arrangements of his books per layer.
Solution:
The top layer is for Math references (distinct books in Geometry, Trigonometry and Statistics)
can be arranged in 3! = 6 ways
the middle layer is for Science references (distinct books in Biology, Chemistry and Earth Science)
can be arranged in 3! = 6 ways
the bottom layer is for English references (distinct books in Literature and Linguistics
can be arranged in 2! = 2 ways
Total ways = 6 * 6 * 2 = 72 Ways
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