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
Counting problems could be addressed a series of decisions where every decision involves choosing from more than one options. In several cases, the possible outcome could be even found by multiplying the number of options for the first decision times the available number of options for second decision, third decision and so on. The fundamental … Read more
Argand Plane As we know that (x,y) are a pair of numbers which can be depicted on the XY plane, where x is known as the abscissa, whereas, y is known as the ordinate. Likewise, also the representation of the complex numbers can be done on the plane, known as the Complex Plane or the … Read more
Algebraic solutions of linear inequalities in one variable and their representation on the number line Recalling the definition of linear inequalities, “it is an equation that carries a linear function.” It could further be expressed as the relation between two algebraic expressions that are represented using inequality symbols. It is a concept similar to linear … Read more