Discover the best answers at Westonci.ca, where experts share their insights and knowledge with you. Experience the ease of finding quick and accurate answers to your questions from professionals on our platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

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

Sagot :

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 [tex]^8C_3[/tex] ways

It can further be arranged among themselves in [tex]3![/tex] ways

Therefore, total number of ways are

[tex]\Rightarrow 3!\times ^8C_3\\\\\Rightarrow 3!\times \dfrac{8!}{3!5!}\\\\\Rightarrow 8\times 7\times 6=336\ \text{ways}[/tex]