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📌 Permutation of the Word TALLAHASSEE – No Two A’s Adjacent

In this video, we solve a popular permutation question with restrictions:

🧠 "In how many ways can the letters of the word 'TALLAHASSEE' be arranged such that no two A’s are adjacent?"

This is a classic gap method question involving:

Permutations with repeated letters

Logical restriction: no two A’s should be together

Application of combinatorics in exam-style problems

📝 This is Question No. 3(c) from:
🎓 4th Semester B.E/B.Tech Degree Examination
📘 Model Question Paper 1 – Discrete Mathematical Structures
🏛️ VTU – CBCS/NEP Scheme

🎯 What You’ll Learn:

Counting arrangements with repeated letters

Applying gap strategy to avoid adjacency

Subtracting invalid cases logically

Step-by-step VTU-style explanation

📚 Subject Code: BCS405A
🎓 For: BCA, BSc, CSE, ISE, AIML – 4th Semester (VTU)

📚 VTU Permutation Problems – BCS405A (Module 2)

🔸 STATISTICS | A & C Adjacent, Vowels Together
Q3(b) June/July 2024 →    • Permutations of STATISTICS | A & C Adjacen...  

🔸 TALLAHASSEE | No Two A’s Adjacent
Q3(c) Model Paper 1 →    • TALLAHASSEE Permutation | No Two A’s Adjac...  

🔸 MASSASAUGA | A’s Together, Starts with S
Q4(b) Model Paper 2 →    • Massasauga Permutation Problem | All A’s T...  

🔸 ENGINEERING | All E’s & Vowels Together, Starts with N
Q4(b) Dec/Jan 2024-25 →    • ENGINEERING Permutation | All E’s & Vowels...  

🔸 Digits 3,4,4,5,5,6,7 | greater than 5,000,000
Q3(c)/Q4(c) Dec/Jan 2024-25 →    • Most Important VTU Permutation Problem | D...  

📘 BCS405A | Module 2 | Discrete Maths (VTU)


🔗 Mathematical Induction
[Problem #1] -    • Mathematical Induction Problem  #1 - Discr...  
[Problem #2] -    • Mathematical Induction Problem  #2 - Discr...  
[Problem #3] -    • Mathematical Induction Problem  #3 - Discr...  
[Problem #4] -    • Mathematical Induction Problem  #4 - Discr...  
[Problem #5] -    • Mathematical Induction Problem  #5 - Discr...  
[Problem #6] -    • Mathematical Induction Problem  #6 - Discr...  
[Problem #7] -    • Mathematical Induction Problem  #7 - Discr...  
[Problem #8] -    • Mathematical Induction Problem  #8 - Discr...  
[Problem #9] -    • Mathematical Induction Problem  #9 - Discr...  
[Problem #10] -    • Mathematical Induction Problem  #10 - Disc...  


🔗 Recursive Definition of Sequence
[Problem #11] -   • Find Recursive Definitions for Sequences |...  

🔗 Binomial and Multinomial Theorem
[Problem #12] -   • Binomial & Multinomial Theorem Problems | ...  
[Problem #13] -   • Binomial & Multinomial Theorem Problems | ...  
[Problem #14]    • Binomial & Multinomial Theorem Problems | ...  
[Problem #15] -
   • Binomial & Multinomial Theorem Problems | ...  
[Problem #16] -
   • Binomial & Multinomial Theorem Problems | ...  
[Problem #17] -   • Binomial & Multinomial Theorem Problems | ...  
[Problem #18] -    • Binomial & Multinomial Theorem Problems | ...  
[Problem #19] -    • Binomial & Multinomial Theorem Problems | ...  
[Problem #20] -    • Binomial & Multinomial Theorem Problems | ...  
[Problem #21] -    • Binomial & Multinomial Theorem Problems | ...  
[Problem #22] -    • Binomial & Multinomial Theorem Problems | ...  

🔗 Permutations and Combinations
[Problem #23] -    • Permutations of STATISTICS | A & C Adjacen...  
[Problem #24] -   • ENGINEERING Permutation | All E’s & Vowels...  
[Problem #25] -   • Massasauga Permutation Problem | All A’s T...  
[Problem #26] -    • TALLAHASSEE Permutation | No Two A’s Adjac...  
[Problem #27] -    • Most Important VTU Permutation Problem | D...  

📂 📺 Playlists by Module:

👉 BCS405A Module 1 – Fundamentals of Logic | VTU Dec 2024, June 2024, Model Papers Solved
🔗    • BCS405A Module 1 – Fundamentals of Logic |...  

▶️ Module 1 – Fundamentals of Logic
🔗    • BCS405A Module 1 ( Fundamentals of Logic )  

▶️ Module 2 – Sets, Relations, Functions
🔗    • BCS405A Module 2( Discrete Mathematics )  

▶️ Module 3 – Graph Theory & Trees
🔗    • Relations and Functions | BCS405A Module 3...  

▶️ Module 4 – Recurrence, Permutations, Inclusion-Exclusion
🔗    • BCS405A Module 4  ( The principle of exclu...  

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