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There are 25 applicants for four jobs; Computer Programmer, SoftwareTester, Manager, and Systems Engineer.This is an example of ___? (Combination or permutation?)n= ____?r= ____?There are ____ ways to choose applicant for the positions of a computer programmer, software tester, manager,and systems engineer.

Respuesta :

Solution

Step 1

Permutations

Permutation means total number of ways in which we can arrange elements in The combination order combination.

Combinations

The combination means a total number of ways in which we can select some elements from a given set of elements.

Permutations are orderings, while combinations are choices.

Step 2

Combination

Step 3

n = 25

r = 4

[tex]\begin{gathered} Number\text{ of ways} \\ ^{25}C_4\text{ = }\frac{25!}{(25-4)!4!}\text{ } \\ =\text{ }\frac{25!}{21!\text{ }\times\text{ 4!}} \\ =\text{ }\frac{25\text{ }\times\text{ 24 }\times\text{ 23 }\times\text{ 22}}{4\times3\times2\times1} \\ =\text{ 12650 ways} \end{gathered}[/tex]

Final answer

Combination

n = 25

r = 5

12650 ways

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