Evaluate the following expression. Express your answer as a fraction or a decimal number rounded to four decimal places.
12P9/12c7
The expression is:
12P9 / 12C7
Using the formula for permutations and combinations, we have:
12P9 = 12! / (12-9)! = 12! / 3! = 479001600
12C7 = 12! / (7! * (12-7)!) = 792
Therefore, the expression simplifies to:
479001600 / 792 = 604800.0000
So, the evaluation of the expression is 604800.0000.