\( \Large n \left(A\cup B\right)=8,\ n \left(A\right)=6,\ n \left(B\right)=4 \) find \( \Large n \left(A\cap B\right) \)

A) 10

B) 7

C) 2

D) 4

Correct answer:
C) 2

Description for Correct answer:
\( \Large n \left(A\cup B\right)=8,\ n \left(A\right)=6,\ n \left(B\right)=4 \)

\( \Large n \left(A\cup B\right)=n \left(A\right)+n \left(B\right)-n \left(A\cap B\right) \)

\( \Large 8 = 6+4-n \left(A\cap B\right) \)

\( \Large n \left(A\cap B\right) = 10-8=2 \)


Please provide the error details in above question