About (a) a manager must select three coders from her group to write three different software projects. there are 7 junior and 3 senior coders in her group. the first project can be written by any of the coders. the second project must be written by a senior person and the third project must be written by a junior person. how many ways are there for her to assign the three coders to the projects if no person can be assigned to more than one project?

There are 168 ways to assign three coders to the 03 projects as described in the question.

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.

answer: e

explanation:

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