goals

In a group of 15 people, 7 read French, 8 read English while 3 of them read none of them. How many read French and English both?

Find the number of subsets of a set whose set contains $$6$$ elements.

If $$A=\left\{ 1,\cfrac { 1 }{ 4 } ,\cfrac { 1 }{ 9 } ,\cfrac { 1 }{ 16 } ,\cfrac { 1 }{ 25 } \right\} $$, then write $$A$$ in Set-builder form.

Let $$A , B$$ be two set such that $$n ( A ) = 4$$ and $$n ( B ) = 6$$ then the least possible number of elements in the power set of $$( A \cup B )$$ is

Write two sets each involving algebraic and geometrical ideas .