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# In a flower shop, there are 5 different types of flowers.

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In a flower shop, there are 5 different types of flowers. [#permalink]  17 Apr 2006, 06:44
20. In a flower shop, there are 5 different types of flowers. Two of the flowers are blue, two are red and one is yellow. In how many different combinations of different colors can a 3-flower garland be made?

a) 4.
b) 20.
c) 3.
d) 5.
e) 6.

At first thought .. Q asks about "different combinations of different". So should'nt it be 1? 1 blue, 1 red, 1 yellow
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There are more than 1 i guess... I can only come up with listing them:

Y R B
Y R R
Y B B
B B R
B R R

So it's d) 5.

Quite confident it's the rite answer but could someone give a more "systematic" answer? Like an aswer using C and A stuffs?
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I think its A 2*2*1=4
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bqminh1983 wrote:
There are more than 1 i guess... I can only come up with listing them:

Y R B
Y R R
Y B B
B B R
B R R

So it's d) 5.

Quite confident it's the rite answer but could someone give a more "systematic" answer? Like an aswer using C and A stuffs?

Agree. D is the right answer.
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I am getting 4 as well
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Re: P&C - 1 [#permalink]  17 Apr 2006, 18:57
gmatacer wrote:
20. In a flower shop, there are 5 different types of flowers. Two of the flowers are blue, two are red and one is yellow. In how many different combinations of different colors can a 3-flower garland be made?

a) 4.
b) 20.
c) 3.
d) 5.
e) 6.

At first thought .. Q asks about "different combinations of different". So should'nt it be 1? 1 blue, 1 red, 1 yellow

the different combinations of different colors is a bit ambiguous, anyway
I would go with A

(y,r1,b1) (y,r1,b2) (y,r2,b1) (y,r2,b2)
Re: P&C - 1   [#permalink] 17 Apr 2006, 18:57
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