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

Lesson Plan Math Class X (Ch-15) Probability

E- LESSON PLAN   SUBJECT MATHEMATICS    CLASS 10

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Board – CBSE

CLASS –X

SUBJECT- MATHEMATICS

CHAPTER 15  :-  Probability

TOPIC:-  Chapter 15 : Probability

DURATION:-  

This topic is divided into seven modules and are completed in seven class meetings.

PRE- REQUISITE KNOWLEDGE:-


TEACHING AIDS:-  Green Board, Chalk,  Duster, Charts, Laptop, Internet connection  etc.

METHODOLOGY:-  Demonstration and Lecture method

OBJECTIVES:-
  • Classical definition of probability.
  • Probability of sure event, impossible event and concept of equally likely events.
  • Range of probability.
  • Concept of probability with one coin, two coin three coins and method of writing their sample space.
  • Concept of probability with one die, two dice and method of writing their sample space.
  • Concept of probability with the playing cards.
  • Concept of probability with the term at least (≥), at most (≤) , "and "(common), "or" (all with common one time) etc.
  • Simple problems on finding the probabilities of an event.
PROCEDURE :-
Start the session by checking their previous knowledge, by asking the questions of simple probability of an event. After this introduce the topic probability step by step as follows. 


S. No.

Topic

[For Complete Explanation of the topic]

1

Introduction and classical definition of probability. Also explain the concept that   P(E) + P(not E) =1

2

Explain the terms sure event or certain events, impossible events, equally likely events and their probabilities. P(sure event) = 1, P(impossible event) = 0 P(equally likely event) = 1/2

3

Explain the range of probability  0 ≤  P(E)  ≤ 1 with the concept that the value of all probabilities lies between 0 and 1

4

Explain the method of writing the sample space when we through one coin, two coin and three coins and their probabilities in different situations. Also explain that when certain number of coins are thrown then possible outcomes are given by  2n .

5

Explain the method of writing the sample space when we through one die,  two dice and their probabilities in different situations. Also explain that when certain number of dice are thrown then possible outcomes are given by  6n .

6

Explain the terms associated with the playing cards i.e. possible outcomes, number of black(52) and red(52) cards, number ace(4) and face(12) cards etc and their probabilities.



7

Use of the terms at least (≥) , at most ( ≤ ) , and(common), or(all with common one time) in the probability along with simple problems from daily life.


EXPECTED OUTCOMES:-

After studying this lesson students should know the 
  • Probability of sure event impossible event equally likely events. 
  • Range of Probability.
  • Method of writing sample space when different number of coins are tossed.
  • Method of writing sample space when different number of dice are thrown. 
  • Students should know the terms associated with the playing cards and become able to tackle the problems with them.
  • Able to find probability in different situations. 
STUDENTS DELIVERABLES:-
  • Review questions given by the teacher. 
  • Students can prepare a presentation on the sample space of different number of coins and dice. 
  • Solve NCERT problems with examples, 
  • Solve the assignment given by the teacher.
EXTENDED LEARNING:-

Students can extend their learning through the RESOURCE CENTRE and can find more valuable and interesting concepts on mathematics at  cbsemathematics.com

ASSESSMENT TECHNIQUES:-
  • Assignment sheet will be given as home work at the end of the topic. 
  • Separate sheets which will include questions of logical thinking and Higher order thinking skills will be given to the above average students.
  • Class Test , Oral Test , worksheet and Assignments. can be made the part of assessment.
  • Re-test(s) will be conducted on the basis of the performance of the students in the test.

INTEGRATION OF PROBABILITY WITH ARTIFICIAL INTELLIGENCE TOOL 

Its a very interesting activity for the the students made with the help of Artificial Intelligence Loopy tool.

Students should click on the start button to start this activity.



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