Question

Hependent Practice: 2. You and your 9 friends are having fun because this is the day that all of you have been waiting for. Find the number of permutations that you can make if you will be sitting at a d table.

Answer 1

Answer:

The number of permutations is 362880.

Step-by-step explanation:

We can find the number of permutations when sitting around a table by using the Circular Permutation Formula:

$\boxed{P_n=(n-1)!}$

where:

• P = number of permutations
• n = total number of objects

Given n = 10 ("you and your 9 friends" makes a total of 10 people), therefore:

$P_n=(n-1)!$

$P_{10}=(10-1)!$

     $=9!$

     $=362880$