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Senior PS Moderator D
Status: It always seems impossible until it's done.
Joined: 16 Sep 2016
Posts: 727
GMAT 1: 740 Q50 V40 GMAT 2: 770 Q51 V42 Re: The subsets of the set {w, x, y} are {w}, {x}, {y}, {w, x}, {w, y},  [#permalink]

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UNSTOPPABLE12, Happy to help! Also, another tip for getting a glimpse of the best action on the forum would be to "follow" some mods, experts and your favorite answer writers. (By pressing the follow button below the profile pic of the user you want to follow) That way you get notifications whenever a new post is made and can be a part of more discussions than when you venture out on your own on the forums.

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GMAT Club Legend  V
Joined: 18 Aug 2017
Posts: 5911
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Concentration: Sustainability, Marketing
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Re: The subsets of the set {w, x, y} are {w}, {x}, {y}, {w, x}, {w, y},  [#permalink]

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JDPB7 wrote:
The subsets of the set {w, x, y} are {w}, {x}, {y}, {w, x}, {w, y}, {x,y}, {w, x, y}, and { } (the empty subset).

How many subsets of the set {w, x, y, z} contain w?

(A) Four
(B) Five
(C) Seven
(D) Eight
(E) Sixteen

for set (w,x,y,x); the subsets containing w would b
(w),(wx),(wy), ( wz), ( wxy,wzx,wyz)(wxyz); 8
Intern  S
Joined: 24 Nov 2018
Posts: 19
Location: India
Re: The subsets of the set {w, x, y} are {w}, {x}, {y}, {w, x}, {w, y},  [#permalink]

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Sets containing w:
can be a set of 1:
{w} 1 way
Can be a set of two:
{w, _} can be selected by 3c1 ways
ie. 3 ways
can be a set of three:
{w,_,_} can be selected by 3c2 ways
ie. 3 ways
can be set of four:
{w, x, y, z}
1 way
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Joined: 23 Feb 2015
Posts: 1567
Re: The subsets of the set {w, x, y} are {w}, {x}, {y}, {w, x}, {w, y},  [#permalink]

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JDPB7 wrote:
The subsets of the set {w, x, y} are {w}, {x}, {y}, {w, x}, {w, y}, {x,y}, {w, x, y}, and { } (the empty subset).

How many subsets of the set {w, x, y, z} contain w?

(A) Four
(B) Five
(C) Seven
(D) Eight
(E) Sixteen

Hi Bunuel
The total subsets (16) of {w, x, y, z} are:
With w:
1. {w}
2. {w , x}
3. {w , y}
4. {w , z}
5. {w , x , y}
6. {w , y , z}
7. {w , x , z}
8. {w , x , y , z}

Without w:

1. {x}
2. {y}
3. {z}
4. {x,y}
5. {x,z}
6. {y,z}
7. {x,y,z}
8. {}

Is it ok?
Thanks__
Math Expert V
Joined: 02 Sep 2009
Posts: 61476
Re: The subsets of the set {w, x, y} are {w}, {x}, {y}, {w, x}, {w, y},  [#permalink]

### Show Tags

JDPB7 wrote:
The subsets of the set {w, x, y} are {w}, {x}, {y}, {w, x}, {w, y}, {x,y}, {w, x, y}, and { } (the empty subset).

How many subsets of the set {w, x, y, z} contain w?

(A) Four
(B) Five
(C) Seven
(D) Eight
(E) Sixteen

Hi Bunuel
The total subsets (16) of {w, x, y, z} are:
With w:
1. {w}
2. {w , x}
3. {w , y}
4. {w , z}
5. {w , x , y}
6. {w , y , z}
7. {w , x , z}
8. {w , x , y , z}

Without w:

1. {x}
2. {y}
3. {z}
4. {x,y}
5. {x,z}
6. {y,z}
7. {x,y,z}
8. {}

Is it ok?
Thanks__

____________________
Yes, that's OK.
_________________ Re: The subsets of the set {w, x, y} are {w}, {x}, {y}, {w, x}, {w, y},   [#permalink] 24 Nov 2019, 02:10

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