Answer:
Step-by-step explanation:
Three identical notches and four identical bends are required in the sheet metal operation.
In total 7 things are required in the metal operation.
We can think it as we need to put the 3 notches and 4 bends in 7 places.
First, lets put the 3 notches in 3 places.
In order to do so, we need to choose 3 places from the 7 places.
We can choose 3 places in [tex]\frac{7!}{3!\times4!} = \frac{5\times6\times7}{6} = 35[/tex] ways.
The 3 notches can be arrange in 3! = 6 ways.
The 4 bends can arrange in 4! = 24 ways.
Thus, in total [tex]35\times24\times6 = 5040[/tex] different possible sequences.
