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Dictionary Rank of a Word | Permutations & Combinations

 PERMUTATIONS & COMBINATIONS Rank of the word or Dictionary order of the English words like COMPUTER, COLLEGE, SUCCESS, SOCCER, RAIN, FATHER, etc. Dictionary Rank of a Word Method of finding the Rank (Dictionary Order) of the word  “R A I N” Given word: R A I N Total letters = 4 Letters in alphabetical order: A, I, N, R No. of words formed starting with A = 3! = 6 No. of words formed starting with I = 3! = 6 No. of words formed starting with N = 3! = 6 After N there is R which is required R ----- Required A ---- Required I ---- Required N ---- Required RAIN ----- 1 word   RANK OF THE WORD “R A I N” A….. = 3! = 6 I……. = 3! = 6 N….. = 3! = 6 R…A…I…N = 1 word 6 6 6 1 TOTAL 19 Rank of “R A I N” is 19 Method of finding the Rank (Dictionary Order) of the word  “F A T H E R” Given word is :  "F A T H E R" In alphabetical order: A, E, F, H, R, T Words beginni

Polynomials basic concepts-cbse mathematics

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Polynomial Chapter 2 Different types of polynomials, degree of polynomials, relationship between zeroes and coefficients of quadratic and cubic polynomials, pair of linear equations in two variables, methods of solving pair of linear equations in two variables. Polynomial:- An algebraic expression in which the exponent of the variable is a whole number is called  a polynomial. Example :  4x 4 - 3x 3 + 4x 2 - 5x + 2 All exponents of the variable are whole number, so it is a polynomial Highest exponent = 4, Degree = 4   Coefficient of  x 4  = 4,   Coefficient of  x 3  = - 3 Coefficient of  x 2  = 4,   Coefficient of x = - 5 Constant Term = 2 Types of polynomial On the basis of terms:- Monomial :- Polynomial having one term. Eg   4x 2 Binomial :-    Polynomial having two terms. Eg    4x 2 + 6x Trinomial :- Polynomial having three terms. Eg    4x 2 + 6x + 5 Quadrinomial :- Polynomial having four terms. Eg    4x 3 + 6x 2 + 5x + 2 Degree of a Polynomial: In a polyn

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