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Showing posts from June, 2020

### 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

### Trigonometry Class 11 Chapter 3

TRIGONOMETRY : CLASS 11 : CHAPTER 3 Different systems of angles, radian measure, degree, AB and CD formulas,  transformations of angles in different quadrants and solution of trigonometric equations Trigonometry: It is the branch of mathematics in which we deal with the relation between the angle and sides of the right triangle. Table 1 0 o 30 o 45 o 60 o 90 o 180 o 270 o 360 o Sin 0 1/2 $1/\sqrt{2}$ $\sqrt{3}/2$ 1 0 -1 0 Cos 1 $\sqrt{3}/2$ $1/\sqrt{2}$ 1/2 0 -1 0 1 Tan 0 $1/\sqrt{3}$ 1 $\sqrt{3}$ $\infty$ 0 $\infty$ 0 Cot $\infty$ $\sqrt{3}$ 1 $1/\sqrt{3}$ 0 $\infty$ 0 $\infty$