A1-sol - Stat 230 Assignment 1 Solutions The first three...

This preview shows pages 1–3. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Stat 230 Assignment 1 - Solutions 2. (a) Suppose that there are 2 black and 5 white marbles. One way to arrange the marbles is . List all 21 ways to arrange these marbles. (b) What combinatorial number describes the number of ways to arrange n black and 5 white marbles? Check your answer for the case n = 2 . As in 1(b), there are ( n +4 4 ) ways to choose the arrangements. In the case of n = 2 , this corresponds to the ( 7 5 ) = 7 · 6 · 5 · 4 · 3 5! = 21 arrangements listed in part (a). (c) In which of the arrangements in 2a (list them) is every white marble adjacent to at least one other white marble? (Note: There are nine such arrangements.) (d) i. List the ways to arrange 2 black, 1 red, and 1 blue marble.
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern