SOLUTION: Need help: Find the number of subsets of the set. {mom, dad, son, daughter} A) 14 B) 12 C) 8 D) 16

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Question 202082: Need help:
Find the number of subsets of the set.
{mom, dad, son, daughter}
A) 14
B) 12
C) 8
D) 16

Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
Recall that the number of subsets of a set with "n" elements is 2%5En. In this case, there are 4 elements. So the number of subsets is 2%5E4=16


So the answer is D) 16


Here are the list of all the possible subsets (count them and you'll find that there are 16 subsets)


{mom, dad, son, daughter},
{mom,dad,son}, {mom,dad,daughter}, {mom,son,daughter}, {dad,son,daughter},
{mom, dad}, {mom, son}, {mom, daughter}, {dad, son}, {dad, daughter}, {son, daughter},
{mom}, {dad}, {son}, {daughter},
{}

Note: {} is the empty set