Question

Sam will place three of his eight model trucks on a shelf. In how many different orders can you please three model trucks on the shelf

Answer 1

Answer: 336 ways

Explanation:

Given

Sam has 8 models and he needs to place 3 on a shelf

3 models can be selected out of 8 in
`^8C_3` ways

It can further be arranged among themselves in
`3!` ways

Therefore, total number of ways are

`\Rightarrow 3!* ^8C_3\\\\\Rightarrow 3!* (8!)/(3!5!)\\\\\Rightarrow 8* 7* 6=336\ \text{ways}`