Fundamental principle of counting, factorial n. (n!), Permutations and combinations, derivation of formulae and their connections, simple applications History, statement and proof of the binomial theorem for positive integral indices. Pascal’s triangle,General and middle term in binomial expansion, simple applications
Sequence and Series, Arithmetic Progression (A.P.). Arithmetic Mean (A.M.) Geometric Progression (G.P.), general term of a G.P, sum of n terms of a G.P., Arithmetic and Geometric series, infinite G.P. and its sum, geometric mean (G.M.), Harmonic (mean) relation between A.M., GM. and H.M., Formula for the following special sum: Arithmetico-Geometric Series, Exponential Series, Logarithmic Series, Binomial Series
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