[deleted due to wrong answer]
Answer:
The sample space for selecting the group to test contains <u>2,300</u> elementary events.
Step-by-step explanation:
There are a total of <em>N</em> = 25 aluminum castings.
Of these 25 aluminum castings, <em>n</em>₁ = 4 castings are defective (D) and <em>n</em>₂ = 21 are good (G).
It is provided that a quality control inspector randomly selects three of the twenty-five castings without replacement to test.
In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.
The formula to compute the combinations of k items from n is given by the formula:

Compute the number of samples that are possible as follows:


The sample space for selecting the group to test contains <u>2,300</u> elementary events.
I’m almost 100% sure it is: D. Graph D
Happy holidays and hope this helps!!
Given:
Consider the expression is

To find:
The simplified form of the given expression.
Solution:
We have,

Using the properties of exponents, we get
![\left[\because \dfrac{a^m}{a^n}=a^{m-n}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbecause%20%5Cdfrac%7Ba%5Em%7D%7Ba%5En%7D%3Da%5E%7Bm-n%7D%5Cright%5D)


Therefore, the simplified form of the given expression is
.