{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

T102 SECTION 9.5 Permut &amp; Combin

# r1r2r3rk examples

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: here are “like” objects involved, we use a different formula. Let’s look at an example: List all arrangements of the letters in the word “ZOO”? Make a tree diagram: List all arrangements of the letters in the word “RED”? Make a tree diagram: {ZOO, OZO, OOZ} {RED, RDE, ERD, EDR, DRE, DER} “RED” = ____________ Now, how many different ways were you able to find? “ZOO” = ____________ Why are they different when they both have 3 letters? FORMULA FOR PERMUTING WITH LIKE OBJECTS (REPEATS) If a set of n objects, of which r1 are of one kind, r2 are of another kind, and so on through rk, then the number of possible permutations of all n objects is: _______n!______ r1! r2! r3! ... rk! EXAMPLES: Find the number of ways the letters in the following words can be arranged: a. BUBBLE b. STATISTICS III. COMBINATIONS Combinations are just groups where the order of the objects in the group does not matter. For instance, suppose we have a club with 4 members, Al, Betty, Carol, and Dave. They need to send 2 people from the club to...
View Full 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