1. ## Problem solving

Please some one help me with my daughters maths problem.
If a square is divided into 16 squares, how many different ways are there to get from the top left hand corner to the bottom right hand corner if only moving right or down. Can you also please explain how to get the answer.

2. There's a reaaaally easy way to do this without using even simpliest combinatorics

This is our path. We're allowed to move only right and bottom.

Now, I put a 1 on that point. What does it mean? It means there's only 1 way to go from that point to the point B.

I put another 1. There's only 1 way to go from that point to B too.

I summed them and wrote 2 on that point. This means there are only 2 ways to go from that point to B.

I placed all 1s..

And summed the other points..

Continue summing...

.....

OK, we completed the diagram Every number on the points indicates the number of the ways to go from that point, to the point B.

So, there are 70 ways to go from A to B.. Solved!

Note:
This diagram with the numbers are called Pascal's Triangle. Numbers on it are also a list of combinations.

3. Here is another way.