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

Step-by-step 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

$\Rightarrow 3!\times ^8C_3\\\\\Rightarrow 3!\times \dfrac{8!}{3!5!}\\\\\Rightarrow 8\times 7\times 6=336\ \text{ways}$