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

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VP
Joined: 13 Jun 2004
Posts: 1122
Location: London, UK
Schools: Tuck'08
Followers: 7

Kudos [?]: 31 [0], given: 0

There are 32 students in a certain class. The students chose [#permalink]  17 Oct 2004, 19:57
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Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
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
Joined: 18 Sep 2004
Posts: 156
Location: Dallas, TX
Followers: 1

Kudos [?]: 5 [0], given: 0

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
Joined: 13 Jun 2004
Posts: 1122
Location: London, UK
Schools: Tuck'08
Followers: 7

Kudos [?]: 31 [0], given: 0

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
Intern
Joined: 07 Oct 2004
Posts: 17
Followers: 0

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

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
_________________

" Learn as if you were going to live forever. Live as if you were going to die tomorrow "

VP
Joined: 13 Jun 2004
Posts: 1122
Location: London, UK
Schools: Tuck'08
Followers: 7

Kudos [?]: 31 [0], given: 0

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
CIO
Joined: 09 Mar 2003
Posts: 464
Followers: 2

Kudos [?]: 34 [0], given: 0

Who's up for a good Venn diagram?

Ans: 9
Manager
Joined: 31 Aug 2004
Posts: 169
Followers: 1

Kudos [?]: 4 [0], given: 0

Same answer as everyone else, 9 people.

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