## Define the relations.

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1. Reflexive relation
2. Congruency relation
3. Symmetric relation
4. Asymmetric relation
5. Transative relation
6. Anti symmetric relation.

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## Out of 250 failed student, 128 fails in Math, 87 in Physics and 134 in Aggregate, 31 failed in Math and Physics, 54 failed in aggregate and in Maths, 30 failed in aggregate and in Physics. Find how many candidates failed

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1. All three subjects
2. In Maths not in Physics
3. In aggregate but not in Maths
4. In Physics but not in aggregate or Maths
5. In the aggregate or in Maths, but not in Physics

## Participation in sports is compulsory in a school. In a class of 80 students, 60 play football 40 play basket ball. Find

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• How many play both games.
• Play football only

## If A, B, C be finite sets then

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$-n\left(C\cap A\right)+n\left(A\cap B\cap C\right)$

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## Explain the following graph operations with examples.

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1. Union
2. Intersection
3. Ring Sum
4. Complementry graph.

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