List All Subsets of the Given Set $$\{ z , n , l , r \}$$

question 75

Multiple Choice

List all subsets of the given set. Identify any of the subsets that are improper. $$\{ z , n , l , r \}$$

• A) \(\begin{array} { l }
• \{ z \} , \{ n \} , \{ l \} , \{ r \} , \{ z , n \} , \{ z , l \} , \{ z , r \} , \{ n , l \} , \{ n , r \} \\
• \{ l , r \} , \{ z , n , l \} , \{ z , n , r \} , \{ z , l , r \} , \{ n , l , r \}
• \end{array}\) Improper subsets: \(\begin{array} { l }
• \varnothing , \{ z \} , \{ n \} , \{ l \} , \{ r \} , \{ z , n \} , \{ z , l \} , \{ z , r \} , \{ n , l \} , \{ n , r \} \\
• \{ l , r \} , \{ z , n , l \} , \{ z , n , r \} , \{ z , l , r \} , \{ n , l , r \}
• \end{array}\)
• B) \(\begin{array} { l }
• \varnothing , \{ z \} , \{ n \} , \{ l \} , \{ r \} , \{ z , n \} , \{ z , l \} , \{ z , r \} , \{ n , l \} , \{ n , r \} \\
• \{ l , r \} , \{ z , n , l \} , \{ z , n , r \} , \{ z , l , r \} , \{ n , l , r \}
• \end{array}\) Improper subsets: \(\{ z , n , l , r \}\)
• C) \(\begin{array} { l }
• \varnothing , \{ z \} , \{ n \} , \{ l \} , \{ r \} , \{ z , n \} , \{ z , l \} , \{ z , r \} \\
• \{ n , l \} , \{ n , r \} , \{ l , r \} , \{ z , n , l \} , \{ z , n , r \} \\
• \{ z , l , r \} , \{ n , l , r \} , \{ z , n , l , r \}
• \end{array}\) Improper subsets: \(\varnothing , \{ z , n , l , r \}\)
• D) \(\begin{array} { l }
• \varnothing , \{ z \} , \{ n \} , \{ l \} , \{ r \} , \{ z , n \} , \{ z , l \} , \{ z , r \} \\
• \{ n , l \} , \{ n , r \} , \{ l , r \} , \{ z , n , l \} , \{ z , n , r \} \\
• \{ z , l , r \} , \{ n , l , r \} , \{ z , n , l , r \}
• \end{array}\) Improper subsets: \(\{ z , n , l , r \}\)
• E) \(\begin{array} { l }
• \{ z \} , \{ n \} , \{ l \} , \{ r \} , \{ z , n \} , \{ z , l \} , \{ z , r \} , \{ n , l \} , \{ n , r \} \\
• \{ l , r \} , \{ z , n , l \} , \{ z , n , r \} , \{ z , l , r \} , \{ n , l , r \}
• \end{array}\) Improper subsets: \(\begin{array} { l }
• \{ z \} , \{ n \} , \{ l \} , \{ r \} , \{ z , n \} , \{ z , l \} , \{ z , r \} , \{ n , l \} , \{ n , r \} \\
• \{ l , r \} , \{ z , n , l \} , \{ z , n , r \} , \{ z , l , r \} , \{ n , l , r \}
• \end{array}\)

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Definitions:

Cannibalization

When a company's new product eats into the sales of one of its existing products, potentially reducing overall sales revenue.

Pricing Constraints

Limitations or factors that affect the setting of prices for goods and services, such as cost of production, competition, and customer demand.

Regulatory Commissions

Official bodies or organizations responsible for the control and supervision of specific industries or fields, ensuring compliance with laws and regulations.

Rate Increase

An adjustment in the price or cost of a service or product, typically an upward revision, by a company or a regulatory body.