The subsets of the set $\{w, x, y\}$ are...... | Free GMAT Practice Question | GMAT Panda

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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 ?

Explanation	Calculations	Help
$To count the number of subsets containing w, use the multiplication (AND) rule: multiply the number of options for each element.$
$w must be included in every subset, so there is only one option for w (it is always present).$	$1$
$For x, it can either be included or not included in the subset, so there are 2 options for x .$	$2$
$For y, it can either be included or not included in the subset, so there are 2 options for y .$	$2$
$For z, it can either be included or not included in the subset, so there are 2 options for z .$	$2$
$Multiply the number of options for each element to get the total number of subsets containing w .$	$1 \times 2 \times 2 \times 2 = 8$

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Eight (Option D)

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 ?

Explanation	Calculations	Help
$To count the number of subsets containing w, use the multiplication (AND) rule: multiply the number of options for each element.$
$w must be included in every subset, so there is only one option for w (it is always present).$	$1$
$For x, it can either be included or not included in the subset, so there are 2 options for x .$	$2$
$For y, it can either be included or not included in the subset, so there are 2 options for y .$	$2$
$For z, it can either be included or not included in the subset, so there are 2 options for z .$	$2$
$Multiply the number of options for each element to get the total number of subsets containing w .$	$1 \times 2 \times 2 \times 2 = 8$

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Eight (Option D)