Working on data science project in which I need to find out in how many orders can five projects are completed such that these include any three A projects and any two B software projects, assuming that these projects are completed in a sequence (not concurrently) Two orders are different if they have the same projects in a different order or have different projects.
I have got the answer for the 1st (5C3 * 4C2) part but I'm don't know how to solve 2nd part (about the sequence)
As you have already determined, the number of ways of choosing the projects are ${5\choose 3}\cdot {4\choose 2}$.
Now, you can do them in any order, so you have to find the number of ways of arranging 5 objects, which is $5!$.
Thus, the answer is ${5\choose 3}\cdot {4\choose 2}\cdot (5!)$.