n theorem

The number of circular permutations of n different objects is (n-1)..

The number of combinations of n dissimilar things, taken r at a time is..

The number of combinations of n dissimilar things, taken r at a time is..

In a polygon of 'n' sides, the sum of the interior angles is equal to (2n - 4) right angle..

1. A sentence is called a statement if it can be adjudged as true or false. Every statement is a sentence, but a sentence may or may not be a statement. 2. A statement involving natural number n is generally denoted by P(n). 3. A binomial is an algebraic ex..

Law of Total Probability: If B 1 , B 2 , B 3 , .., B n are mutually exclusive and exhaustive events of the sample space S, then for any event A of S. Baye's Theorem: Let S be a sample space. If A 1 , A, A 3 ... A n are mutually exclusive and exh..

De Moivre's formula, named after Abraham de Moivre, states that for any complex number (and, in particular, for any real number) x and any integer n it holds that The formula is important because it connects complex numbers (i stands for the imaginary unit) and trigonometr..

Let S be a sample space. If A 1 , A, A 3 ... A n are mutually exclusive and exhaustive events such that P(A i ) 0 for all i. Then for any event A which is a subset of We hav..

In a right angled triangle, the square on the hypotenuse is equal to the sum of the squares on the sides containing the right angle. ABC is a triangle with BAC = 90 o . BC 2 = AB 2 + AC 2 . On AB, BC and CA as sides, describe squares ABFG, BCDE and ACKL respectively. Draw AMN parallel to BE meeting..

Binomial Theorem for Fractional Index - For any rational number n, We accept this expansion without proof. The restriction on x is not required when n is a natural number. Now, we shall see that when n is a natural number, then the above expansion coincides w..