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Selected Books

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Manager
Manager
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Joined: 29 May 2008
Posts: 116
Followers: 1

Kudos [?]: 15 [0], given: 0

Selected Books [#permalink] New post 17 Sep 2009, 09:34
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

50% (01:59) correct 50% (01:28) wrong based on 2 sessions
In how many ways can 2 or more books be selected from a set of 5 offered by a book club?

A) 32
B) 26
C) 25
D) 20
E) 10
Senior Manager
Senior Manager
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Joined: 23 Jun 2009
Posts: 359
Location: Turkey
Schools: UPenn, UMich, HKS, UCB, Chicago
Followers: 5

Kudos [?]: 95 [0], given: 60

Re: Selected Books [#permalink] New post 17 Sep 2009, 10:42
TheRob wrote:
In how many ways can 2 or more books be selected from a set of 5 offered by a book club?

A) 32
B) 26
C) 25
D) 20
E) 10


Total number of groups is 2^5=32
0 books can be selected only one way
1 books can be selected 5C1 = 5 ways.
So 2 or more books can be selected 32-5-1=26 ways.
B
Senior Manager
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Joined: 18 Aug 2009
Posts: 333
Followers: 8

Kudos [?]: 172 [0], given: 13

Re: Selected Books [#permalink] New post 17 Sep 2009, 11:52
Not sure if this is the correct way:

2 books out of 5 books can be selected in 5C2 ways = 10
3 books out of 5 books can be selected in 5C3 ways = 10
4 books out of 5 books can be selected in 5C4 ways = 5
5 books out of 5 books can be selected in 5C5 ways = 1

Total number of ways in which 2 or more books can be selected = 10+10+5+1 = 26.
Answer is B.

Please correct me if I am wrong.
Manager
Manager
User avatar
Joined: 29 May 2008
Posts: 116
Followers: 1

Kudos [?]: 15 [0], given: 0

Re: Selected Books [#permalink] New post 17 Sep 2009, 12:00
B is the correct answer thanks for your valuable info
Senior Manager
Senior Manager
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Joined: 18 Aug 2009
Posts: 333
Followers: 8

Kudos [?]: 172 [0], given: 13

Re: Selected Books [#permalink] New post 17 Sep 2009, 12:03
maliyeci wrote:
hgp2k wrote:
Not sure if this is the correct way:

2 books out of 5 books can be selected in 5C2 ways = 10
3 books out of 5 books can be selected in 5C3 ways = 10
4 books out of 5 books can be selected in 5C4 ways = 5
5 books out of 5 books can be selected in 5C5 ways = 1

Total number of ways in which 2 or more books can be selected = 10+10+5+1 = 26.
Answer is B.

Please correct me if I am wrong.

it is correct.


Thank you maliyeci!
Re: Selected Books   [#permalink] 17 Sep 2009, 12:03
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