Units 2,3,5

1(i)Finite and Infinite Sets

1(ii)Inclusions sets:

1(iii)Equality of sets

1(iv)Proper Subsets:

1(v)Universal sets:

universal set, complements,subsets:

1(vi)Null set

1(vii)Singleton set

1(viii)Power set

1(ix)Disjoint set

11 (ii) Abelian Group:

11 (iii) Cyclics Group:

11 (i & iv) Group and subgroup:

11 (v) Group homomorphism:

11 (vi) Kernel of homomorphism:

11 (vii) Cosets of group:

Unit3

9 Binomial Theorem:

10. inclusion and exclusion principle: 4. enumerating permutations with constraints repetitions:

Unit 5

2. compliment of graph:

3 (i)Deification of tree:

3 (iv)weakly connected graph:

3 (vi)Strong connected graph:

3,4 (ix)Spanning tree:

11. Euler and Hamiltonian: Created By Fuzail Ahmed for Juve