Question

9. A chili recipe calls for ground beef, beans, green pepper, onion, chili powder, crushed tomatoes, salt, and pepper. You have lost the directions about the order in which to add the

ingredients, so you decide to add them in a random order.
a. How many different ways are there to add the ingredients? How did you get this answer?
b. What is the probability that the first ingredient that you add is crushed tomatoes? How did you get your answer?

Answer 1

a) 40320

b) 0.125

Explanation:

There are total 8 ingredients

a) The Total Number of ways in which all ingredients can be added randomly = 8*7*6*5*4*3*2*1 = 8! = 40320

b) The probability that the first ingredient that you add is crushed tomatoes = (1*7*6*5*4*3*2*1)/8! = 1/8 = 0.125