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A woman has three blouses of different colors, three skirts of differe

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A woman has three blouses of different colors, three skirts of differe  [#permalink]

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New post 17 Jan 2016, 11:10
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A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

67% (01:27) correct 33% (01:44) wrong based on 113 sessions

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Re: A woman has three blouses of different colors, three skirts of differe  [#permalink]

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New post 17 Jan 2016, 20:11
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Bunuel wrote:
A woman has three blouses of different colors, three skirts of different colors, and two different pairs of shoes. She refuses to wear her pink blouse with her green skirt. How many different blouseskirt-shoe combinations could she wear?

A. 8
B. 12
C. 16
D. 17
E. 18



Hi,
total ways = 3*3*2=18..

now its better to find the ways in which the pink blose and green skirty are together and subtract from total to get the answer..
the ways in which the pink blose and green skirty are together=1*1*2=2..

total ways =18-2=16..
C
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Re: A woman has three blouses of different colors, three skirts of differe  [#permalink]

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New post 07 Nov 2019, 10:04
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Bunuel wrote:
A woman has three blouses of different colors, three skirts of different colors, and two different pairs of shoes. She refuses to wear her pink blouse with her green skirt. How many different blouseskirt-shoe combinations could she wear?

A. 8
B. 12
C. 16
D. 17
E. 18


My approach would have been the same as chetan2u's solution.
That said, if a test-taker doesn't know how to proceed with this question, another option is to simply list and count all possible outcomes.
This is a reasonable approach, because the answer choices tell us that there are, AT MOST, 28 outcomes.

So, let's be systematic with our listing.
Let N, O, and P be the 3 blouses (and P represents the PINK blouse)
Let E, F and G be the 3 skirts (and G represents the GREEN skirt)
Let X and Y be the 2 pairs of shoes

So, the possible outcomes are:
NEX
NEY
NFX
NFY
NGX
NGY
OEX
OEY
OFX
OFY
OGX
OGY
PEX
PEY
PFX
PFY
PGX
PGY


16 outcomes

Answer: C

Cheers,
Brent
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Re: A woman has three blouses of different colors, three skirts of differe  [#permalink]

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New post 12 Nov 2019, 19:27
1
Bunuel wrote:
A woman has three blouses of different colors, three skirts of different colors, and two different pairs of shoes. She refuses to wear her pink blouse with her green skirt. How many different blouseskirt-shoe combinations could she wear?

A. 8
B. 12
C. 16
D. 17
E. 18



If there are no restrictions, she could have 3 x 3 x 2 = 18 blouse-skirt-shoe combinations. Since the pink blouse and the green skirt together can pair with either one of the two pairs of shoes, the number of blouse-skirt-shoe combinations that consist of the pink blouse and the green skirt is 2. Therefore, she still has 18 - 2 = 16 blouse-skirt-shoe combinations she could wear.

Answer: C
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Re: A woman has three blouses of different colors, three skirts of differe   [#permalink] 12 Nov 2019, 19:27
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