If a set contain $n$ elements, then the total number of proper subsets of set is:
Options
A$2^{n-1}$
B$2^n$
C$2^{n-1}-1$
D$2^n-2$
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✅ Option a — $2^{n-1}$
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
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