In this chapter we'll be extending the real number system to a larger system so as to solve equations which are not possible within the system of real numbers. We will finally get introduced to the infamous 'imaginary numbers' which you will soon realize are as 'real' as the real numbers that you are already quite familiar with. Equipped with this new weapon called complex numbers, we will revisit quadratic equations from a new point of view.
Let's now learn the art and science of how to count very large numbers without actually counting them. We will start with the fundamental principle of counting and finally demystify two big words 'permutations' and 'combinations' and make them our friends for ever.
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