Course module
Section 3 | क्रमचय-संचय, प्रायिकता एवं सांख्यिकी / Combinatorics, Probability & Statistics — BPSC TRE 4.0 PGT Mathematics (कक्षा 11–12)
विषय भाग (80 प्रश्न): वरिष्ठ माध्यमिक शिक्षक स्तर पर इकाई-वार MCQ अभ्यास। / Unit-wise MCQ practice at PGT depth for the subject section (80 questions). Permutation and Combination / Probability / Statistics.
Explore the module outline and lessons below. Enroll free to begin studying here.
Return to /learn/BPSC-TRE-4-SENIOR-SECONDARY-TEACHER-CLASS-11-12-MATHEMATICS/subject-probability-statistics after enrolling
- Lessons
- 48
- Duration
- —
- PYQs
- 19
- Practice
- 121
10% of this course's PYQ weight is covered in this module.
Syllabus index
Lessons in this module
Permutation and Combination
Basic Concepts & Counting Principles
Permutations (with & without Repetition)
- [Notes] Permutations with No RepetitionPdf
- [Notes] Permutations with Unlimited RepetitionsPdf
- [Notes] Permutations with Limited RepetitionsPdf
- [Notes] Tricks to Solve The Famous MISSISSIPPI Problem in P&CPdf
- [Notes] Vowels & Consonants Type Questions in P&CPdf
- [Notes] Tricks to Solve Questions on Arrangement of LettersPdf
- [Notes] Tricks to Solve Questions on Arrangement of Digits (1)Pdf
- [Notes] Tricks to Solve Questions on Arrangement of Digits (2)Pdf
Circular & Grouping Permutations
Combinations (with & without Repetition)
Special Applied Problems
- [Notes] Tricks to Solve Questions on Binary StringsPdf
- [Notes] Trick for Sum of all numbers formed from given digitsPdf
- [Notes] Finding Rank of a Word (Concept + Short Trick)Pdf
- [Notes] Question on Finding Rank of a Word Without RepetitionPdf
- [Notes] Short Trick to Find Rank of a Word With RepetitionsPdf
- [Notes] Short Trick to Find Number of HandshakesPdf
- [Notes] Chocolate Picking ProblemPdf
- [Notes] Counting Sticks ApproachPdf
- [Notes] Short Tricks to Solve Dice Sum Problem (1)Pdf
- [Notes] Short Tricks to Solve Dice Sum Problem (2)Pdf
- [Notes] Conventional Method of Solving Dice Sum ProblemPdf
- [Notes] Short Tricks for Alphabet Selection Problem in P&CPdf
Probability
Basic Concepts and Terminology
- [Notes] What is Experiment, Event, Favorable & Total OutcomePdf
- [Notes] What is Sure Event, Impossible Event, Complementary EventPdf
- [Notes] Short Trick to find total outcomes in an experimentPdf
- [Notes] Mutually Exclusive Events & Exhaustive EventsPdf
- [Notes] Odds in Favour of an event & Odds Against An EventPdf
Classical Problems (Cards, Dice, Coins, Digits, Number, Objects)
Probability Using Venn Diagrams & Set Theory
Statistics
Introduction & Types of Data
Mean, Median, and Mode for grouped data
Previous-year questions
PYQ collectionPYQ Questions1 questionsPYQ collectionPYQ Questions2 questionsPYQ collectionPYQ Questions3 questionsPYQ collectionPYQ Questions1 questionsPYQ collectionPYQ Questions1 questionsPYQ collectionPYQ Questions8 questionsPYQ collectionPYQ Questions4 questionsPYQ collectionPYQ Questions1 questionsPYQ collectionPYQ Questions2 questionsPYQ collectionPYQ Questions1 questionsPYQ collectionPYQ Questions8 questionsPYQ collectionPYQ Questions2 questionsPYQ collectionPYQ Questions1 questionsPYQ collectionPYQ Questions3 questionsPYQ collectionPYQ Questions19 questions
Explore the course
Previous moduleSection 3 | त्रिकोणमिति, सदिश एवं ज्यामिति / Trigonometry, Vectors & GeometryNext moduleSection 3 | समुच्चय, संबंध, फलन, तर्क एवं ग्राफ / Sets, Relations, Functions, Logic & Graphs
- Section 1 | हिंदी भाषा — 22 प्रश्न (निश्चित)
- Section 1 | उर्दू भाषा — 22 प्रश्न (निश्चित)
- Section 1 | বাংলা / बांग्ला भाषा — 22 प्रश्न (निश्चित)
- Section 1 | English Language — 8 प्रश्न (निश्चित, अनिवार्य)
- Section 2 | गणित एवं तार्किक क्षमता / Mathematics & Reasoning (GS)
- Section 2 | बिहार विशेष / Bihar GK
- Section 2 | सामान्य विज्ञान / General Science (GS)
- Section 2 | सामान्य ज्ञान एवं समसामयिकी / GK & Current Affairs
- Section 3 | अनुक्रम, कलन, वास्तविक विश्लेषण एवं टोपोलॉजी / Sequences, Calculus, Real Analysis & Topology
- Section 3 | त्रिकोणमिति, सदिश एवं ज्यामिति / Trigonometry, Vectors & Geometry
- Section 3 | समुच्चय, संबंध, फलन, तर्क एवं ग्राफ / Sets, Relations, Functions, Logic & Graphs
- Section 3 | रैखिक बीजगणित / Linear Algebra
- Section 3 | समीकरण सिद्धांत, अमूर्त बीजगणित एवं संख्या सिद्धांत / Theory of Equations, Abstract Algebra & Number Theory
- Section 3 | सम्मिश्र संख्याएँ एवं विश्लेषण / Complex Numbers & Analysis
- Section 3 | अवकल समीकरण एवं यांत्रिकी / Differential Equations & Mechanics
- Section 3 | अनुकूलन एवं संख्यात्मक विश्लेषण / Optimization & Numerical Analysis