In a survey of 60 students, it was found that 25 students stick to the internet. 26 students remain busy with thir mobile and 26 students prefer to read extra books. 9 students prefer to sorrt internetand remain busy with their mobile, 11 students prefer to sort internet and remain busy with their mobile, 8 students prefer to remain busy with their mobile and read extra books and 3 students are engaged in all the three activities. 1) how many students sort internet only?
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Step-by-step explanation:
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8 students sort internet only.
Step-by-step explanation:
Consider the provided information.
Let n(A) represents the students stick to the internet.
n(B) represents the students remain busy with their mobile.
n(C) represents students prefer to read extra books.
It was found that 25 students stick to the internet. 26 students remain busy with thir mobile and 26 students prefer to read extra books.
n(A) = 25, n(B) = 26 and n(C) = 26
n(A ∩ B) = 9, n(A ∩ C) = 11, n(B ∩ C) = 8 and n(A ∩ B ∩ C) = 3
Thus, the no of students who use only Internet:
n(A) -[(n(A ∩ B) + n(A ∩ C) -n(A ∩ B ∩ C)] = 25 - [9 + 11 - 3]= 25 - 17 = 8
Hence, 8 students sort internet only.
#Learn more
Draw a Venn diagram of A'
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