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

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Senior Manager
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In a workshop there are 4 kinds of beds, 3 kinds of closets, [#permalink]

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17 Jan 2006, 18:06
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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
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17 Jan 2006, 18:11
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
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Re: PS Permutation and combination [#permalink]

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17 Jan 2006, 19:13
Professor wrote:
= 2x4x3+2x4x7
= 24 + 56= 80

We are on the same page Professor.
CEO
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Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008
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18 Jan 2006, 02:32
Its 4C1 (One Bed) * 2C1 (1 Shelf) * 10C2 (One chair or closet) = 80
_________________

SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

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18 Jan 2006, 06:59
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
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18 Jan 2006, 08:14
Good jon guys the OA is 80
Senior Manager
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18 Jan 2006, 21:54
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

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Re: PS Permutation and combination [#permalink]

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18 Jan 2006, 23:30
1
KUDOS
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
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Re: In a workshop there are 4 kinds of beds, 3 kinds of closets, [#permalink]

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26 Aug 2016, 13:57
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: In a workshop there are 4 kinds of beds, 3 kinds of closets,   [#permalink] 26 Aug 2016, 13:57
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