In a certain manufacturing plant, the first operation can be done on any one of five machines, the second operation on only one
machine, the third operation on any one of six machines, and the fourth operation on either of two machines. Over how many routes can the raw material be processed? 14
56
60
Let's see all the steps: 1) operation : 5 options 2) only one option: we ignore it 3) the third operation: 6 options 4): 2 options.
So we have 5 options, 6 options and 2 options: and they are independent of each other. This means that we multiply the numbers, and 5*6*2=60 So the answer is 60!
