A freelance computer consultant keeps a database of her clients, which contains the names S = {Acme, Brothers, Cores, Dion, Energy, Floyd, Globe, Hilbert}. The following clients owe her money: A = {Acme, Cores, Energy, Globe}. The following clients have done at least $40,000 worth of business with her: B = {Acme, Brothers, Cores, Dion}. The following clients have employed her in the last year: C = {Acme, Cores, Dion, Energy, Globe, Hilbert}. A subset of clients is described that the consultant could find using her database. HINT [See Example 4.] the clients who owe her money or have done at least $40,000 worth of business with her Write the subset in terms of A, B, and C.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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A freelance computer consultant keeps a database of her clients, which contains the names
S = {Acme, Brothers, Cores, Dion, Energy, Floyd, Globe, Hilbert}.
The following clients owe her money:
A = {Acme, Cores, Energy, Globe}.
The following clients have done at least $40,000 worth of business with her:
B = {Acme, Brothers, Cores, Dion}.
The following clients have employed her in the last year:
C = {Acme, Cores, Dion, Energy, Globe, Hilbert}.
A subset of clients is described that the consultant could find using her database. HINT [See Example 4.]
the clients who owe her money or have done at least $40,000 worth of business with her
Write the subset in terms of A, B, and C.
 
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