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, we need to simplify the numerator and the denominator separately:
Numerator:
12c8 = 12! / (8! * (12-8)!)
12c8 = (12 * 11 * 10 * 9) / (4 * 3 * 2 * 1)
12c8 = 11880 / 24
12c8 = 495
Denominator:
12p5 = 12! / (12-5)!
12p5 = 12! / 7!
12p5 = (12 * 11 * 10 * 9 * 8) / (5 * 4 * 3 * 2 * 1)
12p5 = 95040 / 120
12p5 = 792
Now, let's evaluate the expression:
12c8 / 12p5 = 495 / 792
Dividing the two values, we get:
495 / 792 = 0.6250
Therefore, the simplified value of the expression is 0.6250.