**1 Table Scenario**

This guide is to help you nail your exams in statistics, so let’s dive right in.

In problems like these, divide your thinking into 2 parts:

1. From a group of how many people in total we are choosing a specific number

2. Then we need to sit them.

**Let’s say we have 8 people in total. In how many ways can we sit them at a round table?**

**Step1: Choose how many people you want to sit**

So here is 8C8 because out of 8 people we are choosing 8 to sit.

**Step2: Sit them**

There are 2 things that happen here:

1. we have 8P8 or 8!. This means that we sit the first person, then we have 7 and so on

But the difference from round tables and typical straight sequences is that we can also rotate them around 7 sits (think of this like a clock) So what you do is: 8!/8

**Final Answer:**

8C8 * 8P8 / 8

**2 Table Scenario**

**Let’s say we have 16 people and 2 tables in total. In how many ways can we sit them at a round table when we want 10 at the first table and 6 at the second?**

**Step1: Choose how many people you want to sit**

So here is 16C10 for the first table and 6C6 for the second table. In other words, out of 16 people wa want 10 for the first table, and the remaining 6 we want them at the second table.

**Step2: Sit them**

So here, is the same thing, but with two tables.

The first table we have 10 people so 10P10 / 10 and for the second table we have 6P6/6

**Final Answer:**

(16C10* 10P10/10) *( 6C6*6P6/6)