Sets, Relations and Functions
Combinatorics and Mathematical Induction
Binomial Theorem, Sequences and Series
Two Dimensional Analytical Geometry
Matrices and Determinants
Differential Calculus - Limits and Continuity
Differential Calculus - Differentiability and Methods of Differentiation
Introduction to Probability Theory
- Properties of Combinations
How many code symbols can be formed using 5 out of 6 letters A, B, C, D, E, F so that the letters
- cannot be repeated
- can be repeated
- cannot be repeated but must begin with E
- cannot be repeated but end with CAB.
From 20 raffle tickets in a hat, four tickets are to be selected in order. The holder of the first ticket wins a car, the second a motor cycle, the third a bicycle and the fourth a skateboard. In how many different ways can these prizes be awarded?
In how many different ways, 2 Mathematics, 2 Economics and 2 History books can be selected from 9 Mathematics, 8 Economics and 7 History books?
Let there be 3 red, 2 yellow and 2 green signal flags. How many different signals are possible if we wish to make signals by arranging all of them vertically on a staff?