- #1

- 84

- 0

## Homework Statement

K = {x C S7 | 2x=2, {1,4}x={1,4}, {1,5,7}x={1,5,7}}.

Draw Lattice Diagram for K.

**2. The attempt at a solution**

I've looked at this for about 30 minutes and came to the conclusion that there are 140 unique solutions to this mapping, and I know for a fact that the professor does not want us to draw all 140 of these. Essentially, I found that 3!3!2!2! - 4 = 140. At this point I have no idea how to express this in a far easier form then what is given and I'm not sure where to go with the Lattice Diagram. Help would def be appreciated.