### Job Positions Probability Calculation#### Problem StatementA software company is hiring for two positions: a software development engineer and a sales operations manager. How many ways can these positions be filled if there are 15 people applying for the engineering position and 19 people applying for the managerial position?#### SolutionTo find the number of ways to fill the two positions, we can multiply the number of applicants for each position.- Number of applicants for the software development engineer position: 15- Number of applicants for the sales operations manager position: 19#### CalculationTo find the total number of ways these positions can be filled, we simply multiply the number of options for each position:\[ \text{Number of ways} = 15 \times 19 = 285 \]Therefore, the positions can be filled in **285 ways**.---#### Instructions1. Enter your answer in the answer box and click “Check Answer”.2. To clear your input, click “Clear All”.---#### Visualization (if applicable)There are no graphs or diagrams present in this question.*Note: Please ensure you understand the multiplication principle of counting, which is commonly used in problems involving selection and arrangement.*

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Description: ### Job Positions Probability Calculation#### Problem StatementA software company is hiring for two positions: a software development engineer and a sales operations manager. How many ways can these positions be filled if there are 15 people applyin

It is given that the number of people applying for engineering position is 15 and the number of…

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A software company is hiring for two positions: a software development engineer and a sales operations manager. How many ways can these positions be filled if there are 15 people applying for the engineering position and 19 people applying for the managerial position? The positions can be filled in ways.

A software company is hiring for two positions: a software development engineer and a sales operations manager. How many ways can these positions be filled if there are 15 people applying for the engineering position and 19 people applying for the managerial position? The positions can be filled in ways.

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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Concept explainers

Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.

Topic Video

Question

### Job Positions Probability Calculation

#### Problem Statement

A software company is hiring for two positions: a software development engineer and a sales operations manager. How many ways can these positions be filled if there are 15 people applying for the engineering position and 19 people applying for the managerial position?

#### Solution
To find the number of ways to fill the two positions, we can multiply the number of applicants for each position.

- Number of applicants for the software development engineer position: 15
- Number of applicants for the sales operations manager position: 19

#### Calculation
To find the total number of ways these positions can be filled, we simply multiply the number of options for each position:

\[ \text{Number of ways} = 15 \times 19 = 285 \]

Therefore, the positions can be filled in **285 ways**.

---

#### Instructions
1. Enter your answer in the answer box and click “Check Answer”.
2. To clear your input, click “Clear All”.

---

#### Visualization (if applicable)
There are no graphs or diagrams present in this question.

*Note: Please ensure you understand the multiplication principle of counting, which is commonly used in problems involving selection and arrangement.*

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