HW5 - HW5 Solutions Dilip Raghavan October 14, 2008 1...

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

View Full Document Right Arrow Icon
HW5 Solutions Dilip Raghavan October 14, 2008 1 Section 6.1 Problem 4. (a) We want all solution to the equation e 1 + e 2 + e 3 + e 4 + e 5 = r with 0 e i 5 So the generating function is (1 + x + x 2 + x 3 + x 4 + x 5 ) 5 (b) We want all solutions to the equation e 1 + e 2 + e 3 + e 4 = r with 3 e i 6. So the generating function is ( x 3 + x 4 + x 5 + x 6 ) 4 (c) We want all solutions to the equation e 1 + e 2 + e 3 + e 4 + e 5 + e 6 + e 7 = r with e i 1. So the generating function is X k = 1 x k 7 = ± x 1 - x ² 7 (d) We want solutions to e 1 + e 2 + e 3 = r with e 1 5. So the generating function is (1 + x + x 2 + x 3 + x 4 + x 5 ) × X k = 0 x k 2 = (1 + x + x 2 + x 3 + x 4 + x 5 ) × " 1 1 - x # 2 Problem 14. (a) We want solutions to the equation e 1 + e 2 + e 3 + e 4 + e 5 + e 6 = r with e 1 , e 2 and e 3 odd and the e 4 , e 5 and e 6
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 09/15/2011 for the course AMAT 356 taught by Professor Hernandez/rag during the Spring '11 term at SUNY Albany.

Page1 / 2

HW5 - HW5 Solutions Dilip Raghavan October 14, 2008 1...

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