Question

In how many different orders can the objects be manufactured if exactly one of the objects must be completed immediately before another

Answer 1

3628800

Missing Problem Statement:

A production line needs to manufacture 11 unique objects; and the order in which they're completed is important.

Explanation:

One object must be completed immediately before another, which means that we can consider two objects in which one must be produced immediately before the other one, as one single unit, basically a pair.

Naming them object A and B, we can say

A and B must be produced one after another, so ,

AB being considered as one object and 9 other objects combined make total of 10 objects.

The different ways they can be manufactured = n!

Here n=10, since two objects A and B must be produced one after another.

The different ways they can be manufactured = n ! =10!=3628800