Evaluate the following expression. Express your answer as a fraction or a decimal number rounded to four decimal places.
12c8/12p5
To evaluate the expression 12c8/12p5, we first need to determine the values of the combinations.
12c8 = 12! / (8!(12-8)!)
= 12! / (8!4!)
= (12*11*10*9) / (4*3*2*1)
= 495
12p5 = 12! / (12-5)!
= 12! / 7!
= (12*11*10*9*8) / (5*4*3*2*1)
= 9504
Now, divide 495 by 9504:
12c8/12p5 = 495 / 9504 ≈ 0.0520293
Therefore, the expression 12c8/12p5 is approximately equal to 0.0520 (rounded to four decimal places).