Combination Calculator Calculate Combinations. Show Work.

Answers Circular Permutation Calculator

How many ways can 7 people sit around a round table?

This is a circular permutation because the relative order around the table matters, but rotating the whole seating does not create a new arrangement.

Exact result

720

7 distinct items around a circle can be arranged in 720 ways.

For 7 people around one round table, seatings that differ only by rotation are the same. Fix one seat, then arrange the other 6 people.

Worked steps

Show your work

  1. Input: n = 7
  2. Formula: (n - 1)!
  3. Substitute: (7 - 1)!
  4. Steps: fix one seat and arrange the remaining 6 items
  5. Result: 7 distinct items around a circle can be arranged in 720 ways.

Interactive tool

Verify the same values in the calculator

For 7 people around one round table, seatings that differ only by rotation are the same. Fix one seat, then arrange the other 6 people.

Result

0

Enter values to calculate.

What your result means

The explanation updates with the current inputs.

Live visual

Fruit preview

Previewing a small sample keeps the page fast and readable.

Calculation work