GATE 1999
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Question 2
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The number of binary relations on a set with n elements is:
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n2
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2n
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2n (2)
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None of the above
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Question 2 Explanation:
In binary relation two elements are selected from a set. So total no. of pairs possible are
n×n = n2
Now, no. of binary relations possible is
2n2
Because each pair have two possibilities either chosen or not chosen.
n×n = n2
Now, no. of binary relations possible is
2n2
Because each pair have two possibilities either chosen or not chosen.
Correct Answer: C
Question 2 Explanation:
In binary relation two elements are selected from a set. So total no. of pairs possible are
n×n = n2
Now, no. of binary relations possible is
2n2
Because each pair have two possibilities either chosen or not chosen.
n×n = n2
Now, no. of binary relations possible is
2n2
Because each pair have two possibilities either chosen or not chosen.
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