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

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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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New post 02 Jan 2019, 05:17
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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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New post 02 Jan 2019, 17:38
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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New post 04 Mar 2019, 22:34
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
Adding 1+3+3+1= 8 ways
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Re: The subsets of the set {w, x, y} are {w}, {x}, {y}, {w, x}, {w, y},   [#permalink] 04 Mar 2019, 22:34

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