How many rectangles are there in a 2*3 grid box?

Edit: there are 18. I missed 2 in my original answer. 2 for each 1x3 The full width of the grid. --original answer-- I think the answer is 16 if I'm interpreting the question correctly. read more

In a rectangle m × n there are (m+1) vertical grid lines and (n+1) horizontal grid lines (7 and 5 in the example here). To define any rectangle within the grid, we must choose 2 of each and there are ( (m+1) choose 2 ) × ( (n+1) choose 2 ) ways to do that. For 4 × 6 that gives us (5 choose 2) × (7 choose 2) = 10 * 21 = 210. read more

Quora. Question how many squares are in a 2x2 grid 20 oct 2014 3x3 has 9 1x1 (3 3) 4 (2 2) and single square 14. Math forum 2x2 magic squares. read more