Question

How many different tables of 4 can you make from 16 potential bridge players? How many different tables if 4 players insist on playing together?

Answer 1

4 tables. 4*4 is 16, meaning that even if 4 players want to sit together it doesn't make a difference. With 16 players and 4 at a table we are going to need 4 tables.

Answer 2

Answer: Hence, a) 1820, b) 495.

Explanation:

Since we have given that

Number of potential bridge players = 20

Number of tables = 4

We need to find the number of different tables of 4 from 16 potential bridge players.

So, Number of different ways would be

`^(16)C_4\\\\=1820`

If 4 players insist on playing together,

remaining players = 16-4 =12

so, Number of different ways would be

`^(12)C_4=495`

Hence, a) 1820, b) 495.