অংঙ্কের সুত্র বলী formula list

আমার প্রাণের বাংলা:

সেট সংক্রান্ত তথ্যাবলী

A U B = {X : X €A Or X €B}

A ꓵ B = { X : X €A and X €B}

A \ B = { X : X €A and X €B}

A’ = { X : X €U and X €A }

A x B = {(X,Y):X€ A and Y €B}

A x (B U C) = ( AxB ) U (A x C)

A x (B ꓵ C ) = (AxB) ꓵ ( A x C)

A U (B ꓵ C) = (A U B) ꓵ ( A U C)

(A U B )’ = A’ ꓵ B’ ( De Morgan’s Law)

( A ꓵ B)’ = A’ U B’ (De Morgan’s Law)

N (A UB) = n (A) + n (B)- n (AꓵB)

N(AUB) = n(A)+n (B)+n(C)-n(AꓵB)-n(BꓵC)-n(CꓵA)+n(AꓵBꓵC)

Aꓵ(BUC) = (Aꓵ B) U (A ꓵC)

A U (B U C) = (A U B)UC = AUBUC

A ꓵ (BꓵC) = (A ꓵ B)ꓵC = AꓵBꓵC