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# In a workshop there are 4 kinds of beds, 3 kinds of closets,

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Senior Manager
Joined: 13 Jun 2005
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Location: Haverhill, MA
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In a workshop there are 4 kinds of beds, 3 kinds of closets, [#permalink]  17 Jan 2006, 17:06
00:00

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Question Stats:

100% (02:09) correct 0% (00:00) wrong based on 4 sessions
1. In a workshop there are 4 kinds of beds, 3 kinds of closets, 2 kinds of shelves and 7 kinds of chairs. In how many ways can a person decorate his room if he wants to buy in the workshop one shelf, one bed and one of the following: a chair or a closet?

a) 168.
b) 16.
c) 80.
d) 48.
e) 56.
VP
Joined: 20 Sep 2005
Posts: 1023
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The kind of day I am having...I am sure I messed it up.
Anyways,
2C1*4C1*(7+3)C1 = 2*4*10 =80.
SVP
Joined: 16 Oct 2003
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Re: PS Permutation and combination [#permalink]  17 Jan 2006, 18:13
Professor wrote:
= 2x4x3+2x4x7
= 24 + 56= 80

We are on the same page Professor.
CEO
Joined: 20 Nov 2005
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Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008
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Its 4C1 (One Bed) * 2C1 (1 Shelf) * 10C2 (One chair or closet) = 80
_________________

SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

GMAT Club Legend
Joined: 07 Jul 2004
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Location: Singapore
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Possibilites: 1 shelf, 1 bed, 1 char or 1 shelf, 1 bed, 1 closet

Case 1: 1 shelf, 1 bed, 1 chair
# of ways = 2 * 4 * 7 = 56

Case 2: 1 shelf, 1 bed, 1 closet
# of ways = 2 * 4 * 3 = 24

Total = 80
Senior Manager
Joined: 13 Jun 2005
Posts: 253
Location: Haverhill, MA
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Kudos [?]: 6 [0], given: 0

Good jon guys the OA is 80
Senior Manager
Joined: 03 Nov 2005
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Location: Chicago, IL
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Solution:

No. beds*No. shelves*(no chairs+no. closets)

4*2*(7+3)=80

C it is.
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Hard work is the main determinant of success

Senior Manager
Joined: 05 Jan 2006
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Re: PS Permutation and combination [#permalink]  18 Jan 2006, 22:30
sperumba wrote:
1. In a workshop there are 4 kinds of beds, 3 kinds of closets, 2 kinds of shelves and 7 kinds of chairs. In how many ways can a person decorate his room if he wants to buy in the workshop one shelf, one bed and one of the following: a chair or a closet?

a) 168.
b) 16.
c) 80.
d) 48.
e) 56.

Bed 4
Closets 3
Shelves 2
Chairs 7

One Shelf = 2c1 = 2
One Bed = 4c1= 4
One closets or chairs = 10c1 = 10

total 2*4*10 = 80
Re: PS Permutation and combination   [#permalink] 18 Jan 2006, 22:30
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