Evaluate the following expression. Express your answer as a fraction or a decimal number rounded to four decimal places.

Question

11P6/11C5

Answer 1

11P6 = 11! / (11-6)! = 11 x 10 x 9 x 8 x 7 x 6

11C5 = 11! / (11-5)!5! = 11 x 10 x 9 x 8 x 7 / 5 x 4 x 3 x 2 x 1

11P6 / 11C5 = 11 x 10 x 9 x 8 x 7 x 6 / (11 x 10 x 9 x 8 x 7 / 5 x 4 x 3 x 2 x 1)
= (11 x 10 x 6 x 5) / 1
= 330

Therefore, the value of the expression is 330.