SOLUTION: 8 books are to be arranged in a shelf. There are 3 different Science books, 2 different Mathematics books and 3 different History books. How many different arrangements can be done
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Question 985051: 8 books are to be arranged in a shelf. There are 3 different Science books, 2 different Mathematics books and 3 different History books. How many different arrangements can be done if:
a.) all the books of the same subject must stand together?
b.) the books can stand irrespective of the subject?
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a.) all the books of the same subject must stand together?
You are arranging three groups:
3!=3 x 2 x 1 = 6
ANSWER: There are 6 different arrangements.
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b.) the books can stand irrespective of the subject?
You are arranging 8 items:
8!=8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40320
ANSWER: There are 40320 different arrangements.
