Questions
A set contains elements. The number of subsets of this set containing more than n elements is equal to
Unlock the full solution & master the concept.
Get a detailed solution and exclusive access to our masterclass to ensure you never miss a concept
By Expert Faculty of Sri Chaitanya
a
2n-1
b
2n
c
2n+1
d
22n
Ready to Test Your Skills?
Check Your Performance Today with our Free Mock Tests used by Toppers!detailed solution
Correct option is D
Let the original set contains 2n+1 elements, then subsets of this set containing more than n elements, i.e., subsets containing n+1 elements, (n+2) elements, ....2n+1 elements.∴Required number of subsets=Cn+1 2n+1+Cn+2 2n+1+...+C2n 2n+1+C2n+1 2n+1=Cn 2n+1+Cn-1 2n+1+...+C1 2n+1+C0 2n+1=C0 2n+1+C1 2n+1+C2 2n+1+...+Cn-1 2n+1+Cn 2n+1=12[(1+1)2n+1] =1222n+1=22n.Similar Questions
If and then
Get your all doubts cleared from
Sri Chaitanya experts
799 666 8865
support@infinitylearn.com
6th Floor, NCC Building, Durgamma Cheruvu Road, Vittal Rao Nagar, HITEC City, Hyderabad, Telangana 500081.
free study material
JEE
JEE Mock Tests
JEE study guide
JEE Revision Notes
JEE Important Questions
JEE Sample Papers
JEE Previous Year's Papers
NEET
NEET previous year’s papers
NEET important questions
NEET sample papers
NEET revision notes
NEET study guide
NEET mock tests
Popular Books
HC Verma Part 1HC Verma Part 2RS AgarwalRD SharmaLakhmir SinghDK GoelSandeep GargTS GrewalNCERT solutions
Class 12 NCERT SolutionsClass 11 NCERT SolutionsClass 10 NCERT SolutionsClass 9 NCERT SolutionsClass 8 NCERT SolutionsClass 7 NCERT SolutionsClass 6 NCERT Solutions
