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This semester, each of the 90 students in a certain class [#permalink]

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11 Nov 2006, 05:49

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A

B

C

D

E

Difficulty:

(N/A)

Question Stats:

85% (00:56) correct 15% (01:26) wrong based on 43 sessions

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This semester, each of the 90 students in a certain class took at least one course from A, B, and C. If 60 students took A, 40 students took B, 20 students took C, and 5 students took all the three, how many students took exactly two courses?

Re: This semester, each of the 90 students in a certain class [#permalink]

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18 Aug 2013, 04:40

Total=60+40+20-X-2*All three.

90=60+40+20-X-10

X=20
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Re: This semester, each of the 90 students in a certain class [#permalink]

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18 Aug 2013, 12:40

johnycute wrote:

This semester, each of the 90 students in a certain class took at least one course from A, B, and C. If 60 students took A, 40 students took B, 20 students took C, and 5 students took all the three, how many students took exactly two courses?

Exactly two courses : A+B+C - 2(A n B n C) - (A u B u C ) = 60 + 40 + 20 - 2 * 5 - 90 = 20 (Answer)
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