Shonghoti and Shouhardo Clubs consist of 200 and 270 members respectively. If the total member of the two clubs is 420 then how many members belong to both clubs?

Correct Answer: 50
We know, Total = N(A) + N(B) - N(A∩B) + None. ⇒ 420 = 200 + 270 - N(A∩B) + 0 ⇒ N(A∩B) = 470 - 420 ⸫ N(A∩B) = 50