1800-150-456-789
FlagBACK
Flag Algebra> A set contains (2n+1) elements. The numbe...
question mark

A set contains (2n+1) elements. The number of subsets of this set containing more than n elements is equal to 1.2power n-1 2.2power n 3.2power n+1 4.2power 2n.

Abhinav sharma , 6 Years ago
Grade 12
anser 1 Answers
Arun

Last Activity: 6 Years ago

 
Dear Abhinav
 
Consider a subset of a set of (2n+1) elements and its complement. Exactly one of the two has more than n elements.
Since the total number of sets is 2(2n+1),
And they come in complementary pairs , exactly half i.e. 22n , have more than n elements.
 
Hence option D is correct.
 
 
Regards
Arun (askIITians forum expert)

Provide a better Answer & Earn Cool Goodies

Enter text here...
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free

Enter text here...

Other Related Questions on Algebra

question mark
What is a binomial expression?
Algebra
1 Answer Available

Last Activity: 10 Month ago(s)

question mark
Can we divide two vectors? If this is possible then how?
Algebra
1 Answer Available

Last Activity: 10 Month ago(s)

question mark
How do you write “the product of 18 and q” as an algebraic expression?
Algebra
1 Answer Available

Last Activity: 10 Month ago(s)

question mark
दहावीच्या आय सी एस इ विद्यार्थ्यांनी पुढे काय करायला पाहिजे
Algebra
0 Answer Available

Last Activity: 1 Year ago(s)

question mark
Find the least number of square tiles by which the floor of a room of dimensions 16.58 m and 8.32 m can be covered completely. why HCF and not LCM as “least” keywor dis given?
Algebra
1 Answer Available

Last Activity: 2 Year ago(s)