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Question
A tech startup will choose one of candidates to serve as the chief engineer and will also select two of candidates to fill two identical associate engineer positions. If no candidate is eligible for both roles, how many different sets of 3 hires are possible?
Answer Choices
- A.
- B.
- C.
- D.
- E.
Steps
| Explanation | Calculations | Help |
|---|---|---|
We first calculate the number of ways to choose one chief engineer from eight candidates. | Theory & Tactics Method Card PC3-C Click to view full details | |
We then calculate the number of ways to choose two associate engineers from nine candidates for two identical positions. | Theory & Tactics Method Card PC3-C Click to view full details | |
Because the selections for chief engineer and associate engineers are independent, we multiply these counts. | Theory & Tactics Method Card PC2-A Click to view full details |
Scroll horizontally to view all columns
Final Answer
B
Question
A tech startup will choose one of candidates to serve as the chief engineer and will also select two of candidates to fill two identical associate engineer positions. If no candidate is eligible for both roles, how many different sets of 3 hires are possible?
Answer Choices
- A.
- B.
- C.
- D.
- E.
Steps
| Explanation | Calculations | Help |
|---|---|---|
We first calculate the number of ways to choose one chief engineer from eight candidates. | Theory & Tactics Method Card PC3-C Click to view full details | |
We then calculate the number of ways to choose two associate engineers from nine candidates for two identical positions. | Theory & Tactics Method Card PC3-C Click to view full details | |
Because the selections for chief engineer and associate engineers are independent, we multiply these counts. | Theory & Tactics Method Card PC2-A Click to view full details |
Scroll horizontally to view all columns
Final Answer
B