Question

If n(A) = 14, n (B) = 10 and n(AUB) =18
Find
n (ANB)​

Answer 1

Answer:

1. answer 6. 24-18 =6. n(AnB) = 6

Answer 2

Answer:

The vaule of n(A ∩ B) = 6.

Step-by-step explanation:

• Set is a collection of well defined objects which are distinct from each other.
• The number of elements in a given finite set is called cardinal number of that finite set and is denoted by n(A).
• The union of two sets A and B, denoted by (A U B), is the set of all those elements each one of which is either in A or in B or both in A and B.
• The intersection of two sets A and B denoted by (A ∩ B), is the set of all those elements which are common in both A and B.
• From set theory:

n(A ∩ B) = n(A) + n(B) - n(A U B)

Given that:

• n(A) = 14 ; n(B) = 10 and n(A U B) = 18

$n(A ∩ B) = 14 + 10 - 18 \\n(A ∩ B) = 24 - 18 \\ n(A ∩ B) = 6$

• Hence, n(A ∩ B) = 6.