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Of the 36 students in a certain class, 10 are in the chess club and 13

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Of the 36 students in a certain class, 10 are in the chess club and 13  [#permalink]

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27 Nov 2018, 00:33
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Difficulty:

35% (medium)

Question Stats:

64% (01:24) correct 36% (01:37) wrong based on 59 sessions

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Of the 36 students in a certain class, 10 are in the chess club and 13 are in the bridge club. If 20 of the students are not in either club, how many of the students are in only one of the two clubs?

A. 7
B. 9
C. 14
D. 16
E. 23

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Re: Of the 36 students in a certain class, 10 are in the chess club and 13  [#permalink]

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27 Nov 2018, 05:55
Bunuel wrote:
Of the 36 students in a certain class, 10 are in the chess club and 13 are in the bridge club. If 20 of the students are not in either club, how many of the students are in only one of the two clubs?

A. 7
B. 9
C. 14
D. 16
E. 23

Total = 36

Neither = 20.

Students belong to clubs = 16

chess club = 10

bridge club = 13

both = 7.

only chess = 3

only bridge = 6

total ( only ) = 9.

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Re: Of the 36 students in a certain class, 10 are in the chess club and 13  [#permalink]

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27 Nov 2018, 10:42
Bunuel wrote:
Of the 36 students in a certain class, 10 are in the chess club and 13 are in the bridge club. If 20 of the students are not in either club, how many of the students are in only one of the two clubs?

A. 7
B. 9
C. 14
D. 16
E. 23

solved using 2x2 matrix attached..

add Bridge + not chess and Chess and not bridge columns : 6+ 3= 9 option B
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File comment: 2x2 matrix

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Re: Of the 36 students in a certain class, 10 are in the chess club and 13   [#permalink] 27 Nov 2018, 10:42
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