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Let A = {phi, {phi}, {phi, {phi}}}, B = ...

Let `A = {phi, {phi}, {phi, {phi}}}, B = {{phi}, { {phi}}}`. If m denotes the number of elements in power set of A and n denotes the number of elements in power set of B, then `2log_(n)m` has the value equal to -

A

1

B

2

C

3

D

4

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The correct Answer is:
C
Let `A = {phi, {phi}, {phi, {phi}}}` ………….
Hence `m = 8, n = 4`
`:. 2log_(n)m=2log_(4)8=log_(4)8^(2)=log_(4)64`
`log_(4)4^(3)=3log_(4)4=3`
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