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State { 2 ,3 , 4 } is a subset of { 1 , ...

State { 2 ,3 , 4 } is a subset of { 1 , 2 , 3, 4 , 5 } ?

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The correct Answer is:
D
Let `A={a_(1),a_(2),a_(3), . . .,a_(n)}`
(i) `a_(i) in P,a_(i) in Q`
(ii) `a_(i) in P, a _(1) cancel(in)Q`
(ii) `a_(i) cancel(in)P,a_(i) in Q`
(iv) `a_(i) cancel(in)P,a_(i)cancel(in)Q,` where `1 le I le n`
`because P cap Q=phi` [cases in favour 3 i.e., (ii), (iii),(iv)]
`therefore`Required number of ways`=3^(n)`.
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