Hi,
Re TY
(54-35) = 19, Statistics only
(69-35) = 34, finance only
19 + 34 =53, Statistics only or finance only
100 - 19 - 35 - 34 = 12, those who take neither
100 students, 54 studied Statistics, 69 studied Finance and 35 studied both subjects
P(S OR F) =
P(neither) =
P(F but not S) =