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Of the 300 subjects who participated in an experiment using virtual-reality therapy to reduce their fear of heights, 40 percent experienced sweaty palms, 30 percent experienced vomiting, and 75 percent
experienced dizziness. If all of the subjects experienced at least one of these effects and 35 percent of the subjects experienced exactly two of these effects, how many of the subjects experienced only one of these effects?
(A) 105
(B) 125
(C) 130
(D) 180
(E) 195
Here ,
n(A u B u C)= n(A) + n(B) + n(C) - n(A n B) - n(B n C) - n(C n A) + n(A n B n C)
A = 40% of 300 = 120
B = 30% of 300 = 90
C = 75% of 300 = 225
n(A n B) + n(B n C) + n(C n A) = 35% of 300 = 105
n(A u B u C) = 300
Putting values in above formula:
300 = 435 - 105 + n(A n B n C)
300 = 330 + n(A n B n C)
n(A n B n C) = -30
What would be the next step?
experienced dizziness. If all of the subjects experienced at least one of these effects and 35 percent of the subjects experienced exactly two of these effects, how many of the subjects experienced only one of these effects?
(A) 105
(B) 125
(C) 130
(D) 180
(E) 195
Here ,
n(A u B u C)= n(A) + n(B) + n(C) - n(A n B) - n(B n C) - n(C n A) + n(A n B n C)
A = 40% of 300 = 120
B = 30% of 300 = 90
C = 75% of 300 = 225
n(A n B) + n(B n C) + n(C n A) = 35% of 300 = 105
n(A u B u C) = 300
Putting values in above formula:
300 = 435 - 105 + n(A n B n C)
300 = 330 + n(A n B n C)
n(A n B n C) = -30
What would be the next step?
