Questions: Question 5(Multiple Choice Worth 5 points) (05.01 MC) At a Tasty D-Lite, there are 9 different toppings a customer can select for their frozen yogurt. How many ways can a customer choose 4 toppings? 9 * 8 * 7 * 6 9 ! 9!/(9-4)! 9!/(4!(9-4)!)

Question 5(Multiple Choice Worth 5 points)
(05.01 MC)

At a Tasty D-Lite, there are 9 different toppings a customer can select for their frozen yogurt. How many ways can a customer choose 4 toppings?
9 * 8 * 7 * 6
9 !
9!/(9-4)!
9!/(4!(9-4)!)

Transcript text: Question 5(Multiple Choice Worth 5 points) (05.01 MC) At a Tasty D-Lite, there are 9 different toppings a customer can select for their frozen yogurt. How many ways can a customer choose 4 toppings? $9 \cdot 8 \cdot 7 \cdot 6$ 9 ! $\frac{9!}{(9-4)!}$ $\frac{9!}{4!(9-4)!}$

Solution

Solution Steps

To determine the number of ways a customer can choose 4 toppings out of 9, we need to use the combination formula, which is given by $ \frac{n!}{k!(n-k)!} $, where $ n $ is the total number of items, and $ k $ is the number of items to choose.

Step 1: Determine the Formula

To find the number of ways to choose 4 toppings from 9, we use the combination formula:

\[ C(n, k) = \frac{n!}{k!(n-k)!} \]

where $ n = 9 $ and $ k = 4 $.

Step 2: Substitute Values

Substituting the values into the formula gives:

\[ C(9, 4) = \frac{9!}{4!(9-4)!} = \frac{9!}{4! \cdot 5!} \]

Step 3: Calculate the Result

Calculating this expression results in:

\[ C(9, 4) = 126 \]