14111cn6.12-15

14111cn6.12-15 - c Kendra Kilmer September 16, 2011 Section...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
c ± Kendra Kilmer September 16, 2011 Section 6.4 - Arrangements and Combinations Example 1: Suppose we want to seat 12 people in a row of 12 seats. How many arrangements are possible? The above product is called a factorial : n ! = n ( n - 1 )( n - 2 ) ··· 3 · 2 · 1 Note: 0! = 1 Example 2: How many ways can we select 5 people from a group of 12 and arrange them in 5 chairs? Definition: If we have n distinct elements and we want to take r of them in an arrangement, we say that the number of arrangements of n things taken r at a time is: Example 3: How many ways can we select 25 people from a group of 35 and arrange them in 25 chairs? Arrangement of n objects, not all distinct: Given a set of n objects in which n 1 are alike of one kind, n 2 are alike of another, ... , n r alike of another so that n 1 + n 2 + ··· + n r = n then the number of arrangements of the n objects taken n at a time is: Example 4: Suppose we have 2 identical red marbles, 3 identical green marbles, and 1 blue marble. If we want to
Background image of page 1

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

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 03/27/2012 for the course MATH 141 taught by Professor Jillzarestky during the Fall '08 term at Texas A&M.

Page1 / 4

14111cn6.12-15 - c Kendra Kilmer September 16, 2011 Section...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online