LeroyAndr
Jan 8, 2021

answers: 1

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Answer:

Number of students studied accounts only = 20 , Number of students studied at least one of these subjects= 360 & Number of students studied all of these subjects = 40

Total Students T = 400

Study Mathematics M = 240

Study Statistics S = 180

Study Accounts A = 140

Study Mathematics & Statistics = M ∩ S = 80

Study Mathematics & Accounts = M ∩ A = 100

Study Accounts & Statistics = A ∩ S = 60

None of the Subjects N = 40

Study all three Subjects = M ∩ S ∩ A

T = M + S + A - M ∩ S - M ∩ A - A ∩ S + M ∩ S ∩ A + N

=> 400 = 240 + 180 + 140 - 80 - 100 - 60 + M ∩ S ∩ A + 40

=> M ∩ S ∩ A = 40

Number of students studied all of these subjects = 40

Number of students studied accounts only = A - M ∩ A - A ∩ S + M ∩ S ∩ A

= 140 - 100 - 60 + 40

= 20

Number of students studied accounts only = 20

Number of students studied at least one of these subjects= Total - None

= 400 - 40

= 360

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