Question

Of the 200 graduate students who were interviewed for a par time position at a call center, 110 had a bicycle, 25 had a master card and 130 had a mobile phone. 50 of them had both, a bicycle and a master card, 30 had both, a master card and a mobile phone and 60 had both, a bicycle and mobile phone and 10 had all three. How many candidates had none of the three?

Answer 1

S = Total students

B = number that had bikes

M = number that had a master card

P = number that had a phone

S = 200

B = 110

M = 25

P = 130

BM = 50

MP = 30

BP = 60

BMP = 10

B + M + P = 110 + 25 + 130 = 265

BM + MP + BP - BMP = 50 + 30 + 60 -10 = 130

265 - 130 = 135

Students that had none of the three = 200 - 135 = 65