4. A media company that produces Pilates videos surveyed its customers to determine whether they would prefer to purchase the videos by buying an access code to allow them to download from a website, purchase hard copies on a DVD, or access the videos via a podcast. The company has extracted the following table of information from its customer database: Access Code (A) Podcast (P) DVD (D) Total Under 41 (Y)oung 41 – 55 (M)idle-aged Over 55 (S)enior 20 15 9. 44 44 34 8. 86 31 14 50 Total 95 63 22 180 a) Find the number of elements in A UP b) Find the number of elements in S n D c) Find the number of elements in Y n (A UD)
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
4. C please
I am not sure what to do once I list out all the possible elements
![4. A media company that produces Pilates videos surveyed its customers to determine
whether they would prefer to purchase the videos by buying an access code to allow them
to download from a website, purchase hard copies on a DVD, or access the videos via a
podcast. The company has extracted the following table of information from its customer
database:
Access Code (A)
Podcast (P)
DVD (D)
Total
Under 41 (Y)oung
41 – 55 (M)idle-aged
Over 55 (S)enior
20
15
9.
44
44
34
8
86
31
14
50
Total
95
63
22
180
a) Find the number of elements in A UP
b) Find the number of elements in S n D
c) Find the number of elements in Y n (A U D)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5051c894-1a82-4f93-bcbc-cbffb620fda9%2F9646ef48-de22-4f83-b954-e8dc70a42bf8%2F3dlbn69_processed.jpeg&w=3840&q=75)
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