Prove that `|A uu B uu C|=|A||+|B|+|C|+|Ann B nn C|-|A nn B|-|B nn C |-|C nn A|`

Prove that |A uu B uu C|=|A||+|B|+|C|+|A nn B nn C|-|A nn B|-|B nn C|-|C nn A|

Prove that |A uu B uu C| =|A|+|B|+|C|+A nn B nn C|-|A nn B|-|B nn C| -| C nn A|

Prove that A uu(A nn B)=A

Prove that A nn(B uu C) =(A nn B) uu (A nn C)

Prove that : (A uu B uu C)^(c) =A^(c) nn B^(c) nn C^(c) .

Prove that : (A uu B)=(A-B) uu (B-A) uu (A nn B) .

If A, B, C are three events associated with a random experiment, prove that P(A uu B uu C) = P(A) + P(B) + P(C) - P(A nn B) - P(A nn C) P(B nn C) + P (A nn B nn C)

If A, B, C are three events associated with a random experiment, prove that P(A uu B uu C) = P(A) + P(B) + P(C) - P(A nn B) - P(A nn C) P(B nn C) + P (A nn B nn C)

If A, B, C are three events associated with a random experiment, prove that P(A uu B uu C) = P(A) + P(B) + P(C) - P(A nn B) - P(A nn C) P(B nn C) + P (A nn B nn C)