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The subsets of the set {w, x, y} are {w}, {x}, {y}, {w, x}, {w, y},

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Status: It always seems impossible until it's done.
Joined: 16 Sep 2016
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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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02 Jan 2019, 04:17
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UNSTOPPABLE12, Happy to help!

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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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02 Jan 2019, 16:38
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
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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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04 Mar 2019, 21:34
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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Posts: 1567
Re: The subsets of the set {w, x, y} are {w}, {x}, {y}, {w, x}, {w, y},  [#permalink]

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24 Nov 2019, 01:54
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
Joined: 02 Sep 2009
Posts: 61476
Re: The subsets of the set {w, x, y} are {w}, {x}, {y}, {w, x}, {w, y},  [#permalink]

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24 Nov 2019, 02:10
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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