Number Scavenger Hunt -- Solution

Here are all the positive whole numbers can be made the numbers {1,2,3,4}, using each exactly once, and using only addition (+), subtraction (-), multiplication (*), and division (/)? (There is more than one way to make some of these numbers.)

1 = 3 + 2 * 1 - 4

2 = 4 - 3 + 2 - 1

3 = 4 - 3 + 2 * 1

4 = 4 - 3 + 2 + 1

5 = 4 + 3 - 2 * 1

6 = 4 + 3 - 2 + 1

7 = 4 + 3 * (2 - 1)

8 = 4 + 3 + 2 - 1

9 = 4 + 3 + 2 * 1

10 = 4 + 3 + 2 + 1

11 = 4 * 3 - 2 + 1

12 = 4 * 2 + 3 + 1

13 = 4 * 3 + 2 - 1

14 = 4 * 3 + 2 * 1

15 = 4 * 3 + 2 + 1

16 = 4 * (3 + 2 - 1)

17 = (4 + 1) * 3 + 2

18 = (4 - 1) * 3 * 2

19 = (3 + 2) * 4 - 1

20 = (3 + 2) * 4 * 1

21 = (4 + 2 + 1) * 3

22 = (4 * 3 - 1) * 2

23 = 4 * 3 * 2 - 1

24 = 4 * 3 * 2 * 1

25 = (4 + 1) * (3 + 2)

26 = (4 * 3 + 1) * 2

27 = (4 * 2 + 1) * 3

28 = (3 * 2 + 1) * 4

29 cannot be made

30 = 3 * 2 * (4 + 1)

31 cannot be made

32 = 4 * 2 * (3 + 1)

33-35 cannot be made

36 = 4 * 3 * (2 + 1)

37 and higher whole numbers cannot be made