Question 983114: Find the number of subsets of the set
{ x|x is an even number between 11 and 27}
{ x|x is an even number between 19 and 33}
Answer by swincher4391(1107)   (Show Source):
You can put this solution on YOUR website! Well the entire set of numbers between 11-27 are {11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27}
Now an even number is any number that is divisible by 2. So the subset that is defined as the even numbers between 11-27 are {12,14,16,18,20,22,24,26}.
Following this same logic for 19-33:
{20,22,24,26,28,30,32}
The important thing is to know that the number of subsets of any set is 2^n where n is the number of elements.
Since the even numbers of 11-27 have cardinality 8, then it has 2^8 subsets or 256.
For 19-33, there are 7 elements, so it has 2^7 or 128 subsets.
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