Question

2.2.12 In the design of an electromechanical product, 12 com- ponents are to be stacked into a cylindrical casing in a manner that minimizes the impact of shocks. One end of the casing is designated as the bottom and the other end is the top. a. If all components are different, how many different designs are possible

Answer 1

479,001,600 different designs are possible

Explanation:

To solve this question, we want to know in how many ways 12 elements can be arranged.

Number of possible arrangements of x elements:

The number of possible arrangments of x elements is given by:

`A_(x) = x!`

In this question:

12 elements. So

`A_(12) = 12! = 479001600`

479,001,600 different designs are possible