Given:
The set is:
[tex]R=\{a,b,c\}[/tex]
To find:
The number of subsets in set R.
Solution:
Formula for number of subsets in a set of [tex]n[/tex] elements is
Number of subsets = [tex]2^n[/tex] ...(i)
We have,
[tex]R=\{a,b,c\}[/tex]
Here, the number of elements are 3. Putting [tex]n=3[/tex] in (i), we get
Number of subsets = [tex]2^3[/tex]
= [tex]8[/tex]
Therefore, the number of subsets is 8 and the subsets are [tex]\phi,\{a\},\{b\},\{c\},\{a,b\},\{a,c\},\{b,c\}[/tex] and [tex]\{a, b, c\}[/tex].
