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

Algebra.Com
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(52908)   (Show Source): You can put this solution on YOUR website!
.
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 = 32,
including the empty subset and the improper subset.

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


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



RELATED QUESTIONS

How many 4-element subsets containing the letter A can be formed from the set... (answered by Edwin McCravy)
How many subsets of 3 elements does the set (a, b, c, d, e, f)... (answered by robertb)
Let A = { a , b , c , d , e , f , g } . How many four element subsets of A do not... (answered by greenestamps)
How many unordered 2-letter subsets of the letters A,B, and C are... (answered by stanbon)
How many 3-element subsets does the set (A, B, C, D, E, F)... (answered by ikleyn)
How many 6-letter codes can you create out of the letters A, B, C, D, E & F if each... (answered by jim_thompson5910)
A subset of a given set may contain no elements, all the elements of the given set, or... (answered by ikleyn)
We have the letters A B C D E and F. How many possible three-letter codes are there if... (answered by Fombitz)
Given the set B= {a, b, c, d, e, f, g, h}, how many subsets does B... (answered by ikleyn)