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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

NCERT Sol Maths Class XII Ch-3 | Matrices

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Solution of Important Question of NCERT Book Class XII Chapter 3 Matrices Get Free NCERT Solutions for Class 12 Maths Chapter 3 Matrices. Solution of important questions of NCERT book  solved by Expert Teachers as per NCERT (CBSE) Book guidelines. NCERT Exercise 3.2 Q.18:  If I is an identity matrix of order 2 x 2 then show that  \[I+A=I-A\begin{bmatrix} cos\alpha &-sin\alpha \\ sin\alpha & cos\alpha \end{bmatrix}\; \; where\] \[A=\begin{bmatrix} 0 &-tan\frac{\alpha }{2} \\ tan\frac{\alpha }{2}& 0 \end{bmatrix}\] Solution \[Let\; \; tan\frac{\alpha }{2}=t\]\[Then\; \; A=\begin{bmatrix} 0 &-t \\ t&0 \end{bmatrix}\] \[LHS= I+A=\begin{bmatrix} 1 &0 \\ 0 & 1 \end{bmatrix}+\begin{bmatrix} 0 &-t \\ t&0 \end{bmatrix}=\begin{bmatrix} 1 &-t \\ t & 1 \end{bmatrix}\] \[Now:\; \; cos\alpha =\frac{1-tan^{2}\frac{\alpha }{2}}{1+tan^{2}\frac{\alpha }{2}}=\frac{1-t^{2}}{1+t^{2}}\;\; and\] \[sin\alpha =\frac{2tan^{2}\frac{\alpha }{2}}{1+tan^{2}\frac{\alp

Math Assignment Class X Ch-5 | Arithmetic Progression

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MATHEMATICS ASSIGNMENT   [CHAPTER 5] Extra questions of chapter 5 class 10 Arithmetic Progression with answer and  hints to the difficult questions. Important and useful math assignment for the students of class 10 For better results Students should learn all the  basic points of  Arithmetic Progression   Student should revise N C E R T book thoroughly with examples. Now revise this assignment. This assignment integrate the knowledge of the students. CLASS    10 TH  Arithmetic Progression (AP) Level 1   1.  Which term of the AP:-  5,9,13,17..........is 81.                                  Ans [20 th  term]   2.  Which term of the following APs are equal    a) 13, 19, 25...........     b) 69, 68, 67 ..........              Ans  [9 th  term]   3.  How many terms of the AP: 3, 5, 7.......must be taken so that   Sn =   120.           Ans [10 terms]   4. Find the 10 th  term from the end of the AP :-  4,9,14..........254                   

Math Assignment Class X Ch-4 | Quadratic Equations

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  Math Assignment / Class X / Chapter 4 /  Quadratic Equations Extra questions of chapter 4 class 10 Quadratic Equations with answer and  hints to the difficult questions. Important and useful math assignment for the students of class 10 For better results Students should learn all the  basic points of  Quadratic Equations   Student should revise N C E R T book thoroughly with examples. Now revise this assignment. This assignment integrate the knowledge of the students. ASSIGNMENT FOR 10 STANDARD QUADRATIC EQUATIONS ********************************************************************************  Question 28.  Out of a number of Saras birds, (1/4)th  of the number are moving about in Lotus plants, (1/9)th  coupled with (1/4)th,   as well as 7 times the square root of the number moving on a hill, 56 birds remain on trees.   What is the total number of words. Solution Let total birds = x No. of birds moving in lotus plant = (1/4)x No. of birds coupled with

Lesson Plan Math Class 10 Ch-1 | Real Numbers

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lesson Plan Maths Class 10 Real Numbers Lesson Plan in mathematics class 10 chapter 1 Number System. New Technology Integrated Lesson Planning in Mathematics for mathematics teacher. Technology Integration Lesson Plan (CBSE Guidelines) (with Constructivism Elements) Teacher                    :   XYZ School                         :     XYZ Subject Area(s)        :  Mathematics Grade Level / Class    :  10  th  Grade Lesson Title/Topic   : Number System Estimated Duration:  This lesson is divided into eight modules and it is completed in eight class meetings. Each class meeting should be of 40 minutes.   Explanation Lesson Goals/  Objectives:    What will students experience and be able to do as a result of this lesson or project?     Objectives ·          All definitions related to the number system ( definition of natural number, whole numbers, I

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