The number of items in the set $A$ is $40$; in the set $B$ is $32$; in the set $C$ is $50$; in both $A$ and $B$ is $4$, in both $A$ and $C$ is $5$; in both $B$ and $C$ is $7$ in all the sets $2$. How many are in at least one of the set?

The numbers of proper subset of the set $(3, 4, 5, 6, 7)$ is

If $A = (1, 2, 3, 4, 5, 6, 7)$ and $B = (2, 4, 6, 8)$. Cardinal number of $A - B$ is:

$ (A^c)^c = ?$ Note: This que is from matrix (deleted topic).

Two finite sets respectively have $x$ and $y$ number of elements. The total number of subsets of the first is $56$ more than the total number of subsets of the second. The value of $x$ and $y$ respectively.

The set of cubes of the natural number is:

The number of integers from $1$ to $100$ which are neither divisible by $3$ nor by $5$ nor by $7$ is