Math  /  Discrete

QuestionNumeric 1 point A software company is hiring for two positions: a software development engineer and a sales operation manager. How many ways can these positions be filled if there are 12 people applying for the engineering position and 17 people applying for the managerial position?
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Studdy Solution

STEP 1

1. Each position is filled by one person.
2. The selections for each position are independent of each other.

STEP 2

1. Determine the number of ways to fill the software development engineer position.
2. Determine the number of ways to fill the sales operation manager position.
3. Calculate the total number of ways to fill both positions.

STEP 3

To fill the software development engineer position, we have 12 applicants. Therefore, there are 12 possible ways to choose one person for this position.

STEP 4

To fill the sales operation manager position, we have 17 applicants. Therefore, there are 17 possible ways to choose one person for this position.

STEP 5

Since the selections for each position are independent, we multiply the number of ways to fill each position to find the total number of ways to fill both positions. Therefore, we have:
12×17 12 \times 17

STEP 6

Calculate the product:
12×17=204 12 \times 17 = 204
The total number of ways to fill both positions is:
204 \boxed{204}

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