Question

If n(A) = 15 , n(B) = 21 and n(AUB) = 29 then n(A intersection B) = ? solve it please ​

Answer 1

Step-by-step explanation:

I hope it is helpful for you.

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Answer 2

Answer:

n(A intersection B) = 7

Step-by-step explanation:

Given:

• n(A) = 15
• n(B) = 21
• n(AUB) = 29

To find:

n(A∩B) = ?

Solution:

Here we use a particular formula for n(AUB) in Set Theory i.e.

  n(AUB) = n(A) + n(B) - n(A∩B)

→ 29 = 15 + 21 - n(A∩B)

→ 29 = 36 - n(A∩B)

→ n(A∩B) = 36 - 29

→ n(A∩B) = 7

∴ n(A∩B) = 7

KNOW MORE:

De Morgans' laws:

1. Law of union: (A U B)' = A' ∩ B'
2. Law of intersection: (A ∩ B)' = A' U B'