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

Math Assignment Class IX Ch -1: Number System

Maths Assignment 
Class 9th Chapter 1
Important questions based on chapter 1 class 9. Extra questions based on the topic Number System. Extra questions along with questions of NCERT book complete the topic .


Students first revise all the topics from NCERT book and then Solve the sums in this worksheet.

Q1- Insert 5 rational and 5 irrational numbers between
(a) 7 & 8,  (b) 2 & 3.2,   (c) 2.7 & 6.32,
 



Q2- Represent the following on the number line.

  


Q3- Express the following in p/q form





 

 Q 4:  Evaluate

 (a) 1⁸ × 3⁰ × 5³ × 2²           Ans; 500,                

(b)  4-3 × 4⁸ ÷ 4²                Ans; 64

(c) 3⁷ ÷ 3⁴ × 3-6                 Ans                    

(d) 3-4 × 3-5 ÷ 3¹⁰             Ans; 3-19

Q5- Evaluate







Q6.  If    , then find the value of the followings
     
      
 

Q7.  Rationalize the denominator of 

  

  

  


Q 8.  Rationalize the following and find the value of a and b




Q 9.  Simplify the followings







Q10- Visualize (a) 3.14,  (b) 5.678,  (c) 9.498 on the number line.

Q11- Locate   
    on the number line.

Q 12.  Find the value of a and b  if  

Q 13. Show that : 


Q 14.  If x = , y =     find x²+y².   [ans; 98]

Q 15 Find the value of a and b if 

    

Q 16. Simplify:      [ans; 0]

Q 17. Simplify:      [ans; 1]

Q 18.  Rationalize the denominator of  


Q 19.   

Q 20.  If     = 3.162, then find the value of        [Ans; 0.3162]
Q 21.  If 27ˣ =  then find x.        [Ans; 1/2]
Q 22. Show that 0.142857142857….=  
Q 23. Simplify- (1³+2³+3³)1/2.           [Ans; 6]

Q 24. If (5ˣ¯³)(3²ˣ¯⁸)=225 find x.           [Ans; 5]

Q 25. Simplify [5(81/3+271/3)³]1/4 .          [Ans; 5]

Q 26. Prove that :   



                                                                                                                                               

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