SOLUTION: How many subsets of the set A B C D E F contain the letter B but not the letter C

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Question 1095640: How many subsets of the set A B C D E F contain the letter B but not the letter C
Answer by ikleyn(52915) About Me  (Show Source):
You can put this solution on YOUR website!
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It is the same as to ask 

    How many subsets of the set A B  D E F contain the letter B  

             (letter C is just EXCLUDED from the set . . . )


Since the new set contains 5 elements, the number of its subsets is 2%5E5 = 32,
including the empty subset and the improper subset.

Therefore, the answer to the original question is: 32 subsets, including the empty subset.


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See the lesson
    - How many subsets are there in a given finite set of n elements?
in this site.