an information was gathered about 40 families about the newspaper they subscribe to the following observations are made :9 families subscribe to English newspaper 20 families subscribe to Marathi newspaper 7 families subscribe to newspaper of both the languages represent this information using Venn diagram. find the number of families not subscribing any newspaper
Answers
Answer:
Step-by-step explanation:
See the venn diagram attached.
Total number of families = u = 40
Number of families reading English paper = n(E) = 9
Number of families reading Marathi paper = n(M) = 20
Number of families reading both papers = n(E ∩ M) = 7
Total number of families reading news paper = n(E U M)
= n(E) + n(M) – n(E ∩ M)
n(E U M) = 9 + 20 – 7 = 22.
Total number of families = number of families reading at least one paper + number of families not reading any paper.
Hence we get number of families not reading any news paper = U – n(E U M) = 40 – 22 = 18.
Hence 18 families do not read any news paper.
Answer: Families who did not subscribe any newspaper = 18
Step-by-step explanation:
Total number of families = 40
Families who subscribe English newspaper = 9
Families who subscribe Marathi newspaper = 20
Families who subscribe both = 7
Solution- Families who subscribe both = 7
Then Families who subscribe English newspaper = 9-7 = 2
Families who subscribe Marathi newspaper= 20-7 = 13
So, Families who did not subscribe any newspaper = 40-(2+7+13)
= 40-22 = 18 (Answer)
