Referred to as the sequence of number in a considerable order, you may observe that we very often come across arithmetic problems in regular lives. These considerable patterns of sequences and series have been addressed as progressions in mathematics. Definition of Arithmetic Progression A progression could generally be expressed as a special sequence for which … Read more

Mathematics covers arithmetic series and sequences as a few among the basic topics. While a sequence could be expressed as a collection of elements which allows repetition of any sorts; a series is a sum of all the elements. Solving problems and understanding its fundamentals is likely to make the concept clearer. These are however … Read more

Simple applications (Permutations and Combinations) Counting is considered to be one of the foundation stones in mathematics and the most basic things that you would get to learn. The use of permutations and combinations while dealing with larger data would be of great help. Even of not in its purest and the most accurate forms, … Read more

The formula of Binomial theorem has a great role to play as it helps us in finding binomial’s power. The procedure is made much easier as it doesn’t have to pass through the boring multiplying process. Moreover, the usage of the formula also helps in determining the middle and general term in the binomial expansion … Read more

Pascal’s triangle refers to a triangular pattern, series or the array of binomial coefficients. This triangle is named after a famous French philosopher and mathematician, Blaise Pascal. Pascal’s triangle’s beauty lies in its simplicity. 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 … Read more

While you may be working with counting decisions and considering combinations and permutations, look up to their formulae and derivations could be worthy. As per mathematical considerations, permutation refers to the ordered or sequential arrangement of all the members in a set. However, combinations do not consider combination as a parameter. It is just one … Read more

Multiplication is certainly known to everyone and so are factorial notations. Factorial operation is a symbol used to represent multiplication operation. Recall the pages of mathematics text books which stated that the factorial of any positive number n is recognized as the product of n and the entire positive integers that are less than n. … Read more

Introduction to the Binomial Theorem The Binomial Theorem is known to be the method of an expansion of the algebraic expression that is raised to a finite power extent. The binomial theorem is regarded as a powerful tool for the expansion procedure. It has its significant applications in probability, Algebra, etc. Binomial Expression: The binomial … Read more

Introduction to the Binomial Theorem In the field of elementary algebra, the binomial expansion or the binomial theorem illustrates the expansion or the algebraic expansion of binomial’s powers. As per the theorem, it’s likely to expand or extend (x + y)n polynomial in the direction towards the sum which involves terms in a .xb yc form, where … Read more

In order to attain the solution to several statistical experiments, you need to be able to count the number of points in a sample space. However, counting these points could turn out to be hard and tedious. We are but fortunate and lucky enough to have various methods to make this task of counting easier. … Read more