L-28 | Circular Permutations | Table Arrangements, Necklaces, Mirror Images | JEE Mains & Advanced

Circular Permutations explained with Round Table Arrangements, Necklace Problems, Mirror Images, Rotational Equivalence, and Advanced JEE Constraints.
Includes seating, beads, identical chairs, flipping cases, PM fixed seat, boys-girls alternate, groups together, and complete JEE Mains + Advanced questions.
Full theory + visualization + solved problems from P&C Mission 1500 Series | Integron Maths.


Welcome to Lecture 28 of the Integron Maths Mission 1500 Series for JEE Mains & Advanced!
Today’s lecture covers the entire chapter of Circular Permutations using intuitive diagrams, chair models, beads, garlands, and real-life visual explanations from the class notes


In this power-packed session, you will learn:

🔵 What’s Covered in This Lecture

Circular Permutations basics

Rotational equivalence (4 rotations = same arrangement)

Linear vs Circular permutations

Identical chairs vs distinct chairs

Necklace arrangements (flipping allowed)

Garland / beads (clockwise vs anticlockwise same)

Round table arrangements

Circular permutations with restrictions

Mirrored arrangements (Page 10 diagram)

Advanced JEE Mains & JEE Advanced patterns

🧮 QUESTIONS DISCUSSED IN THE LECTURE (From PDF)
1️⃣ In how many ways can 6 friends be seated around a circular dining table?

2️⃣ In how many ways can a necklace be formed using 7 distinct colourful beads?

3️⃣ In how many ways can 6 Boys and 2 Girls sit at a round table if the 2 Girls must always sit together?

4️⃣ PM + 5 Ministers: PM has a fixed chair. Number of ways?

5️⃣ 21 pearls on a necklace; 3 specific pearls always remain together. How many ways?

6️⃣ 24 persons around a table if there are 13 sets?

7️⃣ 5 boys and 5 girls form a circle such that boys and girls alternate. How many ways?




🕒 TIMESTAMPS (Suggested Structure)

00:00 – Introduction to Circular Permutations
01:26 – Linear vs Circular Arrangements
13:37 – Rotational Equivalence (Chair Diagram)
25:10 – Circular Permutations of n objects
27:25 – (n–1)! Formula Derivation
30:47 – Necklace vs Table Difference
38:15 – Example 1: 6 Friends Around Table
39:13 – Example 2: Necklace with 7 Beads
41:31 – Example 3: 6 Boys + 2 Girls Together
43:00 – Example 4: PM Fixed Seat
45:00 – Example 5: 21 Pearls, 3 Together
47:58 – Example 6: 24 Persons, 13 Sets
48:49 – Example 7: Boys-Girls Alternate
50:55 – Final Summary + Tips for JEE





Circular Permutations JEE

Circular Arrangement JEE Mains

Round table arrangement JEE Advanced

Necklace permutation P&C JEE

Mirror image circular permutation

Flipping allowed garland arrangement

JEE Circular permutation short trick

Seating arrangement round table JEE

Mission 1500 P&C Circular

Boys girls seating circular JEE

n-1 factorial rule circular arrangement

Necklace vs Circular table difference

JEE Maths P&C lecture circular loops

Advanced circular permutation JEE 2026

Circular arrangement restrictions

PM fixed seat JEE permutation

Grouping in circular permutations

Alternate boys girls circular arrangement

circular permutations

circular arrangement

round table permutations

necklace arrangement JEE

rotational equivalence

flipping allowed arrangement

JEE Mains maths P&C

JEE Advanced permutations

beads garland arrangement

identical chairs circular

mission 1500 integron maths

arrangement restrictions JEE



🔥 HASHTAGS

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