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There are 32 students in a certain class. The students chose

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VP
VP
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Joined: 13 Jun 2004
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Location: London, UK
Schools: Tuck'08
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There are 32 students in a certain class. The students chose [#permalink] New post 17 Oct 2004, 19:57
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There are 32 students in a certain class. The students chose some clubs to take part in, 10 students did not choose any club, 15 students chose A, 20 students chose B. How many students chose only one club?
Manager
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Joined: 18 Sep 2004
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 [#permalink] New post 17 Oct 2004, 20:37
32-10 = 22 Students in one or two clubs

# In A + # In B =
15 + 20 = 35

35 - 22 = 13 In both A and B The overlap

22 - 13 = 9 In only one
VP
VP
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Joined: 13 Jun 2004
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Location: London, UK
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 [#permalink] New post 17 Oct 2004, 21:58
Correct.

I have the same result

A + B - Both + Excluded = 32
15+20-both+10=32
35-Both=22
Both=13

in A -> 15-13 = 2 students chose only A
in b -> 20-13 = 7 students chose only B

So total, 9 students only chose one club.

Good job Nzgmat :done
Intern
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 [#permalink] New post 18 Oct 2004, 21:39
as 10 students are not in any clubs
=> n(AUB) =32 - 10 =22

we have formula n(AUB) =n(A) + n(B) -n(A intersection B)

//**simple sets formula(cudn't find intersection's sign which is inverted U)..kindly adjust...

=>n(A intersection B)=15 + 20 - 22 = 13

so, only A=15 - 13 =2
and, only B=20 -13 =7

so only A& B = 2+7 =9
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VP
VP
User avatar
Joined: 13 Jun 2004
Posts: 1119
Location: London, UK
Schools: Tuck'08
Followers: 7

Kudos [?]: 33 [0], given: 0

 [#permalink] New post 19 Oct 2004, 00:34
For me, exactly the same way than you guys to find that result is 9
Just wanted to confirm my first result because I didn't have any official answer attached with the problem :wink:
:done
CIO
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 [#permalink] New post 20 Oct 2004, 07:18
Who's up for a good Venn diagram?

Image

Ans: 9
Manager
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 [#permalink] New post 21 Oct 2004, 11:39
Same answer as everyone else, 9 people.

:-D
  [#permalink] 21 Oct 2004, 11:39
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There are 32 students in a certain class. The students chose

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