SOLUTION: Four books can be placed in four spots on a shelf. If each book can only occupy one spot at a time, how many different arrangements of books on the shelves are possible?
(A) 8
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Question 260012: Four books can be placed in four spots on a shelf. If each book can only occupy one spot at a time, how many different arrangements of books on the shelves are possible?
(A) 8 (B) 12 (C) 16 (D) 20 (E) 24
Found 2 solutions by edjones, checkley77:
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
4!=24 different arrangements.
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
THE FIRST SPOT CAN HAVE ANY ONE OF THE 4 BOOKS
THE SECOND CAN HAVE ANY ONE OF THE REMAINING 3 BOOKS
THE THIRD SPOT CAN HAVE ONE OF THE REMAINING 2 BOOKS
THE LAST SPOT HAS ONLY ONE BOOK AVAILABLE.
4*3*2*1=24 DIFFERENT ARRANGEMENTS ARE POSSIBLE.
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