If A={x:x in N and xlt6(1)/(4)} and B={x...

If `A={x:x in N and xlt6(1)/(4)}` and `B={x: x in N and x^(2)le5)` the number of subsets of set `Axx(AcapB)` which contains exactly 3 elements is

A

126

B

280

C

220

D

144

Verified by Experts

The correct Answer is:

C

`thereforea=[1,2,3,4,5,6},B={1,2}`
`thereforeAcapB={1,2}`
`thereforen(Axx(AcapB))=12`
`therefore` required `=.^(12)C_(3)=220`

Similar Questions

Explore conceptually related problems

A set contsins (2n+1) elements. The number of subset of the set which contain at most n elements is

A set contains 5 elements. The number of subsets of the set which contain atmost n element is

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 all subsets of a set containing 2n+1 elements which contains more than n elements is

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

If A={x:x=n^(2),n=1,2,3} , then number of proper subsets is