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a chair or a closet?

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by sanju09 » Tue May 24, 2011 1:07 am
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) 16
(B) 48
(C) 56
(D) 80
(E) 168

[spoiler]Source: Eric’s collection on BTG


OA D[/spoiler]
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by manpsingh87 » Tue May 24, 2011 1:15 am
sanju09 wrote: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) 16
(B) 48
(C) 56
(D) 80
(E) 168

[spoiler]Source: Eric’s collection on BTG


OA D[/spoiler]
2C1*4C1*10C1= 80; hence D
2C1= out of two shelves any one can be selected in 2C1 ways;
4C1= out of four beds any one can be selected in 4C1 ways;
10C1= a char or a closet can be selected in (7+3)= 10C1 ways..
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