Question

I am looking for help to this question
On the $xy$-plane, the origin is labeled with an $M$. The points $(1,0)$, $(-1,0)$, $(0,1)$, and $(0,-1)$ are labeled with $A$'s. The points $(2,0)$, $(1,1)$, $(0,2)$, $(-1, 1)$, $(-2, 0)$, $(-1, -1)$, $(0, -2)$, and $(1, -1)$ are labeled with $T$'s. The points $(3,0)$, $(2,1)$, $(1,2)$, $(0, 3)$, $(-1, 2)$, $(-2, 1)$, $(-3, 0)$, $(-2,-1)$, $(-1,-2)$, $(0, -3)$, $(1, -2)$, and $(2, -1)$ are labeled with $H$'s. If you are only allowed to move up, down, left, and right, starting from the origin, how many distinct paths can be followed to spell the word MATH?

Answer 1

Start with short paths, extend, and watch for patterns that develop. What do you get?

And lose all the $$ signs, OK? They just make things hard to read.

Answer 2

Ok, ill get rid of them, I graphed it and saw nothing

Answer 3

well, start small.
Starting at each of the M's, how many ways get you to an A?

Answer 4

get out some graph paper.
Plot and label all the points.
Draw a line from each M to any A one unit away.
Continue on to the T's, and H's.

Do <u>something</u>!

Answer 5

pls give answer

Answer 6

The answer is 28 :)