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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] New post 17 Jan 2006, 17:06
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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.
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 [#permalink] New post 17 Jan 2006, 17:11
The kind of day I am having...I am sure I messed it up.
Anyways,
2C1*4C1*(7+3)C1 = 2*4*10 =80.
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Re: PS Permutation and combination [#permalink] New post 17 Jan 2006, 18:13
Professor wrote:
= 2x4x3+2x4x7
= 24 + 56= 80


We are on the same page Professor. :good
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 [#permalink] New post 18 Jan 2006, 01:32
Its 4C1 (One Bed) * 2C1 (1 Shelf) * 10C2 (One chair or closet) = 80
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 [#permalink] New post 18 Jan 2006, 05:59
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
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 [#permalink] New post 18 Jan 2006, 07:14
Good jon guys the OA is 80
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 [#permalink] New post 18 Jan 2006, 20:54
Solution:

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

4*2*(7+3)=80

C it is.
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Re: PS Permutation and combination [#permalink] New post 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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