How many subsets are there of 5 letters? How many contain at least one letter, but not all of the letters {a, b, c, d, e}?
Numbers of possible subsets are: 2n
Here , n=5
Hence,
Numbers of possible subsets =25 =32
Now,
We can see the Subsets be like: {},{a},{b},{c},{d},{e},{a,b},{a,c},{a,d},{a,e},{b,c},.....{d,e},{a,b,c},......{a,b,c,d,e}
Here we can observe that :{} do not have any letters, and {a,b,c,d,e} contains all the letters
so,
How many contain at least one letter, but not all of the letters {a, b, c, d, e}:=32-2=30
How many subsets are there of 5 letters? How many contain at least one letter, but...
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