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Four books,one each in chemistry,physics,biology&mathematics,are to be arranged in a shelf. in how many ways can this be done.




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4 books for each subject can be arranged as in shelf F so F (4, 4) therefore it can be written as 4! which means four factorial
4×3×2×1 = 24 ways
So the books can be arranged in 24 ways.
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Given there are four books.

one chemistry ,one physics,one maths,one biology.

in first place any one of the four can be kept.in the second one of the remaining three  can be kept.in the third one of the remaining two can be kept.the remaining book is kept in the last.

4 x 3 x 2 x 1  = 24 = 4!

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