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UGC NET CS 2012 June-Paper2
February 13, 2024
2005 Dec UGC NET Paper-1
February 13, 2024
UGC NET CS 2012 June-Paper2
February 13, 2024
2005 Dec UGC NET Paper-1
February 13, 2024

GATE 1995

Question 20

The number of elements in he power set P (S) of the set S = {(φ), 1, (2, 3)} is:

A
2
B
4
C
8
D
None of the above
Question 20 Explanation: 
S = {(φ), 1, (2, 3)}
P(S) = {φ, {{φ}}, {1}, {{2, 3}}, {{φ}, 1}, {1, {2, 3}}, {{φ}, 1, {2, 3}}}
In P(S) it contains 8 elements.
Correct Answer: C
Question 20 Explanation: 
S = {(φ), 1, (2, 3)}
P(S) = {φ, {{φ}}, {1}, {{2, 3}}, {{φ}, 1}, {1, {2, 3}}, {{φ}, 1, {2, 3}}}
In P(S) it contains 8 elements.

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