MTH 225 Lecture Notes - Lecture 1: Pineapple, Pepperoni
Document Summary
Section 1. 5: question: i have some cookies and kids. In other words, what i am trying to do is solve the integer equation: x1 + x2 = 5 where x 0. You need to have the bound for x. If you have 3 kids, the equation changes to x1 + x2 + x3 = 5 while x 0. If you have 4 kids and you want to give exactly 2 to the eldest, the equation is: 2 + x2 + x3 + x4 = 5 while all other x 0. For 2 kids, you have 1: these are just like ones and zeros. The separators: the number of integer solutions to the equation x1 + x2 + x3 + + xt = 5 = n where divider, 3 kids means 2 dividers. (cid:4673) = (cid:4672)+ (cid:4673). each xi 0, is (cid:4672)+ .
