If a set contains n elements, then write the number of elements i… - Vidyadip

Question

If a set contains n elements, then write the number of elements in its power set.

✓

Answer

Let $A$ be a set. Then collection or family of all subsets of $A$ is called the power set of $A$ and is denoted by $P(A)$. $A$ set having $n$ elements has $2^n$ subsets.
Therefore, if $A$ is a finite set having $n$ elements, then $P(A)$ has $2^n$ elements.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "Solve the following Question.(1 Marks)" from Sets→Sets — all question types→Maths STD 11 Science question papers→Maharashtra Board STD 11 Science question papers→Maharashtra Board question paper generator→

Similar questions

Determine which of the following pairs of angles are co-terminal : -180°, 540°

Simplify the following and express in the form a + ib:
$\left(2 i^3\right)^2$

If sum of an infinite decreasing G.P. is $3$ and the sum of the squares its term is $\frac{9}{2},$ then write its first term and common differance.

Evaluate the following:

$i ^{-888}$

Write the following statements in the form "if p, then q".
There is traffic jam whenever it rains.

If ω is the complex cube root of unity, find the value of

$\left(1+\omega^2\right)^3$

If a variable $X$ takes values $0, 1, 2,..., n$ with frequencies $^nC_0, ^nC_1, ^nC_2 , ... , ^nC_n$, then write variance $X$.

A coin is tossed once Write its sample space.

Which of the following statements are true and which are false? In each case give a valid reason for saying so:
s: If x and y are integers such that x > y, then -x < -y.

Solve the following for $x$, where $|x|$ is modulus function, $[x]$ is the greatest integer function, $\{x\}$ is a fractional part function.

$\left[\frac{x}{2}\right]+\left[\frac{x}{3}\right]=\frac{5 x}{6}$