Home
Class 12
MATHS
Let X be a set containing n elements. If...

Let X be a set containing n elements. If two subsets A and B of X are picked at random, the probability that A and B have the same number of elements is

A

`(.^2nC_n)/(2^n)`

B

`(1)/(.^2nC_n)`

C

`(1cdot3cdot5…(2n-1))/(2^ncdotn!)`

D

`(3^n)/(4^n)`

Text Solution

Verified by Experts

The correct Answer is:
(a,c)
Promotional Banner

Similar Questions

Explore conceptually related problems

Let X be a set containing n elements. Two subsets A and B of X are chosen at random, the probability that AuuB=X is

A is a set containing n elements. A subset P of A is chosen at random. The set A is reconstructed by replacing the elements of P. A subset Q is again chosen at random. The Probability that P cap Q contain just one element, is

A is a set containing n elements. A subset P of A is chosen at random and the set A is reconstructed by replacing the random. Find the probability that Pcup Q contains exactly r elements with 1 le r le n .

A set contains 2n+1 elements. The number of subsets of this set containing more than n elements :

If A and B be two sets containing 3 and 6 elements respectively. What can be the minimum number of elements in A cup B ? Find also, the maximum number of elements in A cup B .

Let A be a set containing 10 distinct elements,then the total number of distinct functions from A to A is

A bag X contains 3 white and 2 black balls; another bag Y contains 2 white and 4 black balls. A bag and a ball out of it is picked at random. What is the probability that the ball is white?

List out some sets A and B and choose their elements such that A and B are disjoint.

Two finite sets have m and n elements. The number of elements in the power set of first set is 48 more than the total number of elements in power set of the second set. Then the value of m and n are………..