The question is an illustration of permutation and combinations.
- The number of ways she can choose 4 out of the 7 paintings is 35
- The number of ways she can arrange 4 out of the 7 paintings is 840
The given parameters are:


<u>(a) Choose 4 of 7 paintings</u>
Choosing 4 of 7 paintings implies combination.
So, we have:

Substitute values for n and r


Expand


Hence, the number of ways she can choose 4 out of the 7 paintings is 35
<u>(b) Arrange 4 of 7 paintings</u>
Arranging 4 of 7 paintings implies permutation.
So, we have:

Substitute values for n and r


Expand


Hence, the number of ways she can arrange 4 out of the 7 paintings is 840
Read more about permutation and combinations at:
brainly.com/question/15301090
Answer: a,b,d
Step-by-step explanation:
The answer will be -12 and -2. Hope you get it!
Answer: random sampling
Step-by-step explanation: Random sampling is where each member of the sample is randomly selected from the population. Since Josh chose every third female customer, he randomly chose the sample.
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