A set contains 2n+1 elements. The numbe...

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

A

`2^(n-1)`

B

`2^(n)`

C

`2^(n+1)`

D

`2^(2n)`

Text Solution

Verified by Experts

The correct Answer is:

D

Topper's Solved these Questions

PERMUTATIONS AND COMBINATIONS
OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|60 Videos
PERMUTATIONS AND COMBINATIONS
OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|9 Videos
PARABOLA
OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos
PROBABILITY
OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|45 Videos

Similar Questions

Explore conceptually related problems

A set contains (2n+1) elements. If the number of subsets of this set which contain atmost n elements is 4096, then n is

The number of subsets of a set containing n elements is

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

The number of all possible subsets of a set containing n elements ?

Let A be a set containing ten elements. Then the number of subsets of A containing at least four elements is

The number of elements of the power set of a set containing n elements is

Two infinite sets have m and n elements. The number of subsets of the first set is 112 more than that of the second set. The values of m and n are, respectively.(a) 4, 7 (b) 7,4 (c) 4,4 (d) 7,7

Two finite sets have m and n elements. The total number of subsets of the first set is 56 more than the total number of subsets of the second set. The value of m and n is

Two finite sets have m and n elements. The total number of subsets of the first set is 48 more than the total number of subsets of the second set. The value of m - n is

two finite sets have m and n elements . The total number of subsets of the first set is 56 more than the total number of subsets of the seccond set , the values of m and n are

OBJECTIVE RD SHARMA ENGLISH-PERMUTATIONS AND COMBINATIONS-Exercise

The number of arrangenments which can be made using all the letters of...
Text Solution
|
The number of ways of choosing a committee of 4 women and 5 men from 1...
Text Solution
|
A set contains 2n+1 elements. The number of subsets of this set conta...
Text Solution
|
The number of ways in which any four letters cab be selected from the ...
Text Solution
|
A 5 digit number divisible by 3 is t formed sing the digits 0,1,2,3,4 ...
Text Solution
|
If 7 points out of 12 are in the same straight line, then the number o...
Text Solution
|
If a denotes the number of permutations of (x+2) things taken all at a...
Text Solution
|
There are number of seats and m number of people have to be seated, th...
Text Solution
|
There are 5 letters and 5 directed envelopes. The number of ways in wh...
Text Solution
|
Find the number of ways of selecting 10 balls out o fan unlimited n...
Text Solution
|
The total number of different combinations of letters which can be mad...
Text Solution
|
The total number of six-digit natural numbers that can be made with...
Text Solution
|
The number of numbers of 7 digits whose sum of digits is even, is
Text Solution
|
All possible four-digit numbers have formed using the digits 0, 1, 2, ...
Text Solution
|
If the permutations of a, b, c, d, e taken all together be written dow...
Text Solution
|
Determine the number of natural numbers smaller than 10^4, in the deci...
Text Solution
|
If eight persons are to address a meeting, then the number of ways in ...
Text Solution
|
Find the number of proper factors of the number 38808. also, find sum ...
Text Solution
|
All possible products are formed from the numbers 1, 2, 3, 4, ..., 200...
Text Solution
|
In an examinations there are three multiple choice questions and each ...
Text Solution
|