16_Counting - Revisit the password counting problem...

Info iconThis preview shows pages 1–9. Sign up to view the full content.

View Full Document Right Arrow Icon
Binomial Coefficients 10/18/11
Background image of page 1

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

View Full DocumentRight Arrow Icon
Binomial Theorem
Background image of page 2
Binomial Theorem Combinatorial proof: Example
Background image of page 3

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

View Full DocumentRight Arrow Icon
Examples
Background image of page 4
Pascal's Triangle Pascal's Identity have 'a' in the k elements chosen Do not have the 'a' in the k elements chosen Combinatorial argument:
Background image of page 5

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

View Full DocumentRight Arrow Icon
Algebraic proof:
Background image of page 6
Background image of page 7

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

View Full DocumentRight Arrow Icon
Background image of page 8
Background image of page 9
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Revisit the password counting problem (Section 6.1) P6: 6-char (letter or digit) string with at least one digit. Vandermondis Identity (VI) Consider the selection of a committee of k people with a chairperson out of n people....
View Full Document

This note was uploaded on 03/21/2012 for the course CS 3333 taught by Professor Boppana during the Fall '11 term at The University of Texas at San Antonio- San Antonio.

Page1 / 9

16_Counting - Revisit the password counting problem...

This preview shows document pages 1 - 9. Sign up to view the full document.

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