<span>This is a very nice counting question.
Suggestion / Hint: Count how many ways he can get from (0,0) to (5,7) by going through the point (2,3). Then subtract that from ALL POSSIBLE ways he can get from (0,0) to (5,7).
Hint for the hint: How many ways he can get from (0,0) to (5,7) by going through the point (2,3)? Well, that's the SUM of how many ways he can get from (0,0) to (2,3) and how many ways he get get from (2,3) to (5,7).
Hope this helps! :)</span>
Fiona and Pip win some money and share it in the ratio 6:1. Fiona gets £35 more than Pip. How much did they get altogether?
Let Pip get be x and fiona get be x+35
Ratio = 6:1
To find the different ways to display the boxes, you will find all the different ways you can make an array of 12.
12 x 1 and 1 x 12
2 x 6 and 6 x 2
3 x 4 and 4 x 3
There are 6 possibilities.
