Home
Class 12
MATHS
The number of subsets of the set A={a(1)...

The number of subsets of the set `A={a_(1),a_(2), . . .,a_(n)}` which contain even number of elements is

A

`2^(n-1)`

B

`2^(n)-1`

C

`2^(n)-2`

D

`2^(n)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

The number of all three element subsets of the set {a_(1),a_(2),a_(3)......a_(n)} which contain a_(3) , is

The number of all the four element subsets of the set {a_(1),a_(2),a_(3),......,a_(n)} aan which contain a_(3) but do not contain a_(n-3),(n>=6) is

Find the number of all three elements subsets of the set {a_(1),a_(2),a_(3),.............a_(n)} which contain a_(3) .

If one quarter of all three element subsete of the set A={a_(1),a_(2),a_(3),......,a_(n)} contains the element a_(3) , then n=

If 20% of three subsets (i.e.subsets containing exactly three elements of the set A={a_(1),a_(2),......a_(n)} contain a_(1), then value of 'n'

If a_(1), a_(2),….,a_(n) are n(gt1) real numbers, then

Number of increasing permutations of m symbols are there from the n set numbers {a_(1),a_(2),...,a_(n),} where the order among the numbers is given by a_(1)

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

Suppose A_(1) ,A_(2) ,. . . .,A_(30) are thirty sets each with fvie elements and B_(1),B_(2), .. . .,B_(n) are n sets elements such that bigcup_(i=1)^(30)A_(i)= bigcup _(i=1)^(n)B_(i) and exactly 9 of the B_(j) 's then the value of n , is