JEE Main · MathematicsEasy

$If the power set of set A has 16 elements, then the number of elements in set A is$

A. $2$
B. $3$
C. $4$
D. $8$

Show correct answer & step-by-step solution

Correct answer: C — $4$

Solution

The number of elements in the power set P (A) is 2^{n (A)} . Given 2^{n (A)} = 16, we have 2^{n (A)} = 2^{4}, so n (A) = 4 .

Attempt this question & track your score

Sign up free to answer, get instant scoring, and let SolveGini track which Mathematics topics you need to revise.

Attempt & Track Free →

More Sets & Relations practice questions

$If set A has 3 elements and set B has 2 elements, then the number of elements in the Cartesian product A x B is$
$Which of the following sets is a singleton set?$
$If A is a subset of B, then A intersection B is equal to$
$If A and B are two sets such that A has 4 elements and B has 3 elements, what is the number of subsets of the Cartesian$
$Let A and B be two sets such that the number of elements in A is 3 and the number of elements in B is 6. What is the min$
$In a group of 50 students, 20 play cricket, 15 play football, and 10 play both. How many students play neither cricket n$
$L e t A = 1, 2, 3 . H o w man y r e l a t i o n so n A a r e b o t h r e f l e x i v e an d sy mm e t r i c ?$
$Let R be a relation on the set of real numbers defined by xRy if and only if x - y is an integer. Which of the following$
$Let f: R to R be a function such that f(x + y) = f(x) + f(y) for all x, y in R. If the relation R is defined by x R y if$
$L e t A = 1, 2, 3 . T h e n u mb er o f r e l a t i o n so n A t ha t a r er e f l e x i v e an d sy mm e t r i c i s :$
$L e tS b e t h ese t o f a l l s u b se t so f 1, 2, ..., n . A r e l a t i o n R i s d e f in e d o n S b y A R B i f an d o n l y i f A in t er sec t i o n B$
$L e t A b e a se t o f a l l 3 x 3 ma t r i ces w i t h e n t r i es f r o m 0, 1 . L e tR b e a r e l a t i o n o n A d e f in e d b y A R B i f an d o n l y i f t h$

View all Sets & Relations questions →