How many integers from 1 to 40 can you form using all 4 digits 2, 0, 1, and 7 exactly once each; the operators +, –, ×, /, ^, concatenation and !
Any number of parenthesis may be used.
Team work (adding so far unresolved numbers ) encouraged.
Start with 27 small cubes. Now put them together to make one larger cube. Without touching the sides of the larger cube, remove the cube in the middle to leave 26.
(Note: No one may touch the outer cubes or in any way do anything that would move or change them)