Answered

Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Get quick and reliable solutions to your questions from knowledgeable professionals on our comprehensive Q&A platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

You are choosing a student council president by lots.. If you have 10 pieces of paper numbered 0-9 and you draw 2 pieces (where order does NOT matter), how many candidates can get a unique number sequence?

Select one:

a.
90


b.
45


c.
60


d.
30

Sagot :

Using the combination formula, it is found that the number of candidates that can get a unique number sequence is given by:

b. 45.

The order of the pieces is not important, hence the combination formula is used.

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, 2 pieces are taken from a set of 10, hence the number of sequences is given by:

[tex]C_{10,2} = \frac{10!}{2!8!} = 45[/tex]

Which means that option b is correct.

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

#SPJ1

Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.