Question

If A, B and C are any three sets, then $A\times (B\cap C)$ is equal to

• A. $(A\times B)\cup (A\times C)$
  
• B. $(A\cup B)\times (A\cup C)$
  
• C. $(A\times B)\cap (A\times C)$
  
• D. $Noneofthese$

Answer 1

The correct option is A $(A\times B)\cup (A\times C)$


Cartesian product is distributive over intersection of sets.