nvmcneill
24.08.2019 •
Mathematics
In a group of 20 people who like rock, country, and classical music, 14 like rock, 17 like classical, 11 like both rock and country, 9 like both rock and classical, 12 like both country and classical, and 8 like rock, country, and classical.
how many like country
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Ответ:
There are 13 people who like country music.
Step-by-step explanation:
Since we have given that
Number of people who like rock n(A) = 14
Number of people who like classical n(B) = 17
Let the number of people who like country n(C) be 'x'.
Number of people who like both rock and country = 11
Number of people who like both rock and classical = 9
Number of people who like both country and classical = 12
Number of people who like rock, country and classical = 8
As we know the formula:
n(A∪B∪C)=n(A)+n(B)+n(C)-n(A∩B)-n(B∩C)-n(C∩A)+n(A∩B∩C)
Hence, there are 13 people who like country music.
Ответ:
I uploaded the answer to a file hosting. Here's link:
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