Answered

From tech troubles to travel tips, IDNLearn.com has answers to all your questions. Our Q&A platform offers reliable and thorough answers to ensure you have the information you need to succeed in any situation.

The owner of Brookstone coffee has 13 regular full-time employees. 7 are female and 6 are male. As he plans the schedule, he likes to ensure exactly two employees on any given shift are male. If 5 work a shift, how many combinations can be created?

Sagot :

Using the combination formula, it is found that 525 combinations can be created.

The order in which the employees are chosen is not important, hence the combination formula is used to solve this question.

What is the combination formula?

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem:

  • 3 female employees are chosen from a set of 7.
  • 2 male employees are chosen from a set of 6.

Then the number of combinations is given by:

[tex]n = C_{7,3}C_{6,2} = \frac{7!}{3!4!} \times \frac{6!}{2!4!} = 525[/tex]

More can be learned about the combination formula at https://brainly.com/question/25821700

#SPJ1

Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! Accurate answers are just a click away at IDNLearn.com. Thanks for stopping by, and come back for more reliable solutions.