Zaymiey

📐 Mathematics  ·  Permutations and Combinations  ·  JEE

In how many ways can 5 people be seated in a circle?

Answer: 4!.

  • A 5!
  • B 4!
  • C 10
  • D 24

Correct answer: B. 4!

Explanation: Circular permutations of n objects = (n-1)! = 4! = 24.

StartABCBCACAB6 ordered outcomes (permutations); pairing AB/BA etc gives 3 combinations

Counting tree for selecting 2 items from {A, B, C} without repetition: 3 x 2 = 6 ordered arrangements.

Concept context

Counting, arrangements, and selections

Read the full Permutations and Combinations notes →