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

Algebra ->  Permutations -> 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       Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
4!=24 different arrangements.

Answer by checkley77(12844) About Me  (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.