The number of subsets of a set containing n elements is: - Vidyadip

MCQ

The number of subsets of a set containing $n$ elements is:

A
$n$
B
$2^n - 1$
C
$n^2$
✓
$2^n$

✓

Answer

Correct option: D.

$2^n$

The total number of subsets of a finite set consisting of $n$ elements is $2^n$

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 "M.C.Q (1 Marks)" from Sets→Sets — all question types→Maths STD 11 Science question papers→CBSE Board STD 11 Science question papers→CBSE Board question paper generator→

Similar questions

The locus of a point which divides the join of $A( - 1,\;1)$ and a variable point $P$ on the circle ${x^2} + {y^2} = 4$ in the ratio $3 : 2$, is

If $\omega $ is the cube root of unity, then ${(3 + 5\omega + 3{\omega ^2})^2}$ + ${(3 + 3\omega + 5{\omega ^2})^2}$ =

What is the probability of selecting a vowel in the word $“\text{PROBABILITY}”\ ?$

The eccentricity of the ellipse, if the distance between the foci is equal to the length of the latus$-$rectum, is:

The graph of the conic $x^2-(y-1)^2=1$ has one tangent line with positive slope that passes through the origin. The point of the tangency being $(a, b)$ then find the value of $\sin ^{-1}\left(\frac{a}{b}\right)$

There are $15$ points in a plane, no two of which are in a straight line except $4,$ all of which are in a straight line.The number of triangle that can be formed by using these $15$ points is:

The real part of $\frac{1}{{1 - \cos \theta + i\,\sin \theta }}$ is equal to

$\frac{{{C_1}}}{{{C_0}}} + 2\frac{{{C_2}}}{{{C_1}}} + 3\frac{{{C_3}}}{{{C_2}}} + .... + 15\frac{{{C_{15}}}}{{{C_{14}}}} = $

One root of the equation $\cos x - x + \frac{1}{2} = 0$ lies in the interval

There are $19 $hockey players in a club. On a particular day $14$ were wearing the prescribed hockey shirts, while $11$ were wearing the prescribed hockey pants. None of then was without hockey pant or hockey shirt. How many of them were in complete hockey uniform?