In a class, 8 students out of 28 have a dog as their pet animal at home, 6 stúdents have a cat as their pet animal. 10 students have dog and cat both, then how many students do not have a dog or cat as their pet animal at home ?
Answers
Answer:
4
Step-by-step explanation:
No. of students in class : 28
No. of students that have a dog as their pet = 8
No. of students that have a cat as their pet = 6
No. of students that have both dog and cat as their pet = 10
Total no. of students that have pet(s) = 8 + 6 + 10 = 24
No. of students that do not have a dog or cat as their pet animal at home =
No. of total students in class - No. of students that have pet(s)
= 28 - 24
= 4
∴ No. of students that do not have pet(s) = 4
Hence Proved.
Step-by-step explanation:
i. Let U be the set of student , D be the set of students who have dog and C be the set of students who have cat.
n(U) = 28, n(D) = 8, n(C) = 6,
Number of students who drink Tea and Coffee = n(D ∩ C) = 10
ii. n(D ∪ C) = n(D) + n(C) – n(D ∩ C)
n(D U C) = 8 + 6 – 10
∴ n(D ∪ C) = 4
4 students do not have a dog or cat as their pet animal at home.