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The following functional dependencies hold for relations X(KLMN) and Y(MVW):
N → K, M → N, K → L → N
The relation X contains 30 tuples and relation Y contains 20 tuples. Find the maximum relation of XY (where is natural join).
  • a)
     20
  • b)
     28
  • c)
     18
  • d)
     30
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The following functional dependencies hold for relations X(KLMN) and Y...
- K -> N
- L -> N
- M -> N
- N -> N (reflexive dependency)
- M -> V
- M -> W
- V -> V (reflexive dependency)
- W -> W (reflexive dependency)
Free Test
Community Answer
The following functional dependencies hold for relations X(KLMN) and Y...
For example,
|X| = y,|Y| = x
In X(KLMN), we have
N → K, M → N, K → L
{M}+ = {MNKL}
Therefore, M is a key.
Maximum tuple possible = |Y| = 2
From above example:
Since |X| = 300 and |Y| = 20
∴ Maximum tuple possible = 20
Hence, the correct option is (A).
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