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Anna35 [415]
3 years ago
8

Of 256 consumers polled, some like only thriller movies, some prefer just comedies, and some like both. If 78 people like only t

hrillers, and 116 like both, how many people prefer only comedies
Mathematics
2 answers:
rodikova [14]3 years ago
7 0
ANSWER

The number of people who like only comedies is

n(C \cup \: T ' ) = 62

EXPLANATION

The total number of consumers polled is

n(C \cup \: T) = 256

The number of consumers who like both Comedies and Thrillers is

n(C \cap \: T) = 116

The number of people who like thrillers is

n(T) = 116 + 78 = 194

The number of people who like comedies can be calculated using the formula,

n(C \cup \: T) = n(C ) + n(T) - n(C \cap \: T)
We substitute the above values to obtain,

256= n(C ) +194- 116

256= n(C ) +78

256 - 78= n(C )

n(C ) = 178

The number of people who like only comedies

n(C \cup \: T ' ) = 178 - 116

n(C \cup \: T ' ) = 62
Margaret [11]3 years ago
5 0

Answer:

62.

Step-by-step explanation:

256-78-116=62

Simple subtraction.

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