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

(a) `126`

B

(b) `280`

C

(c) `220`

D

(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`

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