Answer:
There are 168 ways to assign three coders to the 03 projects as described in the question.
Step-by-step explanation:
- If the first project is assigned to Junior coder:
+ There are 7 ways to assign for First Project;
+ There are 3 ways to assign for Second Project;
+ There are 6 ways (7-1) to assign for Third Project.
=> There are 7 x 3 x 6 = 126 ways in total for assigning coders to 03 projects given the First project is assigned to Junior coder.
- If the first project is assigned to Senior Coder:
+ There are 3 ways to assign for First Project;
+ There are 2 ways (3-1) ways to assign for Second Project;
+ There are 7 ways to assign for the Third Project.
=> There are 3 x 2 x 7 = 42 ways in total for assigning coders to 03 projects given the First project is assigned to Senior coder.
- In total, there are 126 + 42 = 168 ways to assign three coders to the 03 projects as described in the question.