Question

the top six genres of podcasts in the year 2016 are listed in the table to the right. use this information to list the elements of the following set.
f, the set of genres with more than 9 million subscribers.
choose the correct answer below.
a. f = {sports, comedy, news, fashion}
b. f = {gossip, fiction}
c. f = {sports, comedy, fashion, gossip}
d. f = {news, sports}

Explanation:

Step1: Identify the number of subscribers for each genre

• News: \(21,930,000\)
• Sports: \(20,805,000\)
• Comedy: \(13,721,000\)
• Fashion: \(12,171,000\)
• Gossip: \(4,668,000\)
• Fiction: \(4,499,136\)

Step2: Select genres with more than 9 million subscribers

Genres with more than \(9,000,000\) subscribers are News (\(21,930,000>9,000,000\)), Sports (\(20,805,000 > 9,000,000\)), Comedy (\(13,721,000>9,000,000\)), Fashion (\(12,171,000>9,000,000\))

Answer:

A. \(F = \{\text{Sports, Comedy, News, Fashion}\}\)