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?
A
30
B
40
C
50
D
60
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