The human resources director for a commercial real estate company received the f
ID: 1173737 • Letter: T
Question
The human resources director for a commercial real estate company received the following numbers of applications from people with the information given to the right Use a Venn diagram to answer parts (a) through 42 with a college degree 74 with sales experience 42 with a real estate license 31 with sales experience and a college degree 28 with sales experience and a real estate license 25 with a college degree and a real estate license 19 with sales experience, a college degree, and a real estate license 27 with neither sales experience, a college degree, nor a real estate license (a) How many applicants were there? applicants b) How many applicants did not have sales experience? applicants (c) How gmapy had sales experience and a college degree, but not a real estate license? applicants d) How many only had a real estate license? applicants Enter your answer in each of the answer boxesExplanation / Answer
Solution:
Let S be the set of people with sales experience
C be the set of people with college degree
R be the set of people with real estate license
So n(S) = 74
n(C) = 42
n(R)=42
n(S ? C) = 31
n(S ? R) = 28
n(C ? R)= 25
n(S ? C ? R)=19
n(S ? C ? R)' = 27
(a) Total applicants :
Total applicants = n(S ? C ? R)' + n(S? C ? R) n(S? C ? R)
= n(S)+n(C)+n(R) - n(S ? C) - n(S ? R) - n(C ? R) + n(S ? C ? R )
= 74+42+42-31-28-25+19= 93
(b) Total applicants did not have sales experience:
Total applicants did not have sales experience
= n(S ? C ? R)' + n(S? C ? R) = 27+93 = 120
No of applicants not having sales experience = n(S)' =
(c) Sales experience and a college degree, but not a real estate license:
Sales experience and a college degree, but not a real estate license=11
(d) real estate license:
real estate license=8
sorry i know this one only
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