SOLUTION: Hello, I was wondering if you would be able to help me with this question: Four cards labeled A, B, C, and D are randomly placed in four boxes labeled A, B, C, and D. Each box r

Algebra ->  Permutations -> SOLUTION: Hello, I was wondering if you would be able to help me with this question: Four cards labeled A, B, C, and D are randomly placed in four boxes labeled A, B, C, and D. Each box r      Log On


   



Question 1116031: Hello, I was wondering if you would be able to help me with this question:
Four cards labeled A, B, C, and D are randomly placed in four boxes labeled A, B, C, and D. Each box receives exactly one card.
In how many ways can the cards be placed in the boxes?
I thought this would be 4 x 4, for 4 cards and 4 boxes. But the answer is 24. I don't understand where the extra numbers are coming from. Thanks!

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
Consider this
:
the first box you have 4 choices, the second box you have 3 choices, the third box you have two choices and the fourth box you have 1 choice, then there are
:
4 * 3 * 2 * 1 = 24 ways
: