Question

From a group of 20 persons, in how many ways can we arrange 10 persons around a circular table?

• A. 9!
• B.
• C.
• D.

Answer 1

The correct option is D

Number of arrangements of 10 persons possible out of a group of 20 people is ${}^{2}0P_{1}0$

When these 10 people are arranged around the circular table, every 10 arrangements can be represented with a single circular arrangement.

So, the number of circular permutations possible = $\frac{{}^{20}{P}_{10}}{10}$