📘 discrete math

1. **Problem Statement:** We have 7 domino pieces with values: (3,5), (6,6), (0,1), (4,2), (2,4), (2,3), (3,1). We want to find the longest chain where adjacent domino ends have ma

1. The problem involves understanding mappings between sets as shown in Graph B and Graph C, and analyzing the table A. 2. In Graph B, set x = \{1, -1\} and set y = \{-1, -2, -3, -

1. The user provided a sequence of hexadecimal and decimal-like values mixed with question marks and asked to "run a pattern." 2. To analyze or run a pattern, we first need a clear

1. The problem shows a 3x3 grid with numbers 7, 5, and 6 placed in specific cells. 2. Since no explicit question is given, let's interpret this as identifying the positions of thes

1. **Problem statement:** Given the relation $R$ on $\mathbb{N}$ defined by $xRy \iff \frac{2x + y}{3} \in \mathbb{N}$, solve the following. 2. **Check pairs:**

1. **Stating the problem:** We have a 3 by 1 rectangle starting at number $n$, containing consecutive numbers $n$, $n+6$, and $n+12$ arranged vertically in a grid of 4 rows and 6 c