Respuesta :
Answer:
36
Step-by-step explanation:
As per the given question,
In a manufacturing operation, a part is produced by machining, polishing, and painting.
Number of machine tools = 3
Number of polishing tools = 4
Number of painting tools = 3
Now,
For finding the different routing consisting of machining, followed by polishing, and followed by painting, we have to simply multiply the number of machine tools, polishing tools and painting tools.
Therefore,
The different routing (consisting of machining, followed by polishing, and followed by painting) for a part are possible = 3 × 4 × 3 = 36.
Hence, the required answer is 36.
Number of ways a process can be done is the count of total distinguished ways that process can be done. The count of different routings possible for a part is 36
In how many ways, two things with a and b choices be done sequentially?
Suppose that a process A can be done in 'a' different ways.
And there is a process following A, call it B, can be done in 'b' different ways. Then, the process A then B can be done in a×b different ways.
This is called rule of product in combinatorics.
Since there are 3 processes to be done subsequently(machining, polishing, then painting), and each of them can be done in 3, 4, and 3 ways respectively, thus,
Total number of routings possible for a part is [tex]3 \times 4 \times 3 = 36[/tex] ways.
Thus, The count of different routings possible for a part is 36
Learn more about rule of product here:
https://brainly.com/question/2763785
