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A. Get the shortest path on the given graph below, find the shortest path between Point A (Node A) to Point J (Node J). ($10$ points)$\newline$Design Analysis and Algorithms - Activity \#$1$$\newline$B. Get the permutation and combination of the given below. ($5$ points each)$\newline$$1$. A company is developing a new mobile application and needs to select a team of $\mathbf{4}$ developers from a pool of $\mathbf{2 0}$ skilled individuals. How many different teams can be formed, assuming each team member has a distinct role in the development process?$\newline$$2$. A cybersecurity expert is creating a passcode for a secure facility. The passcode must be $8$ characters long, consisting of $2$ uppercase letters, $2$ lowercase letters, $2$ digits, and $2$ special characters. How many unique passcodes can be generated following these requirements?