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Step-by-step explanation:

39 numbers — the only number you can not get is 39

Step-by-step explanation:

Take the digits 5, 4, 3, 2 and 1, in that order. Using those digits and the four arithmetic signs — plus, minus, times and divided by — you can get 1 with the sequence 5 - 4 + 3 - 2 - 1. You can get 2 with the sequence (5 - 4 + 3 - 2) x 1.

1=5-4+3-2-1;

2=(5-4+3-2)*1;

3=((5+4)/3) * (2-1);

4=(5+4-3-2)*1;

5=5*(4-3)*(2-1);

6=5-4+(3*2)-1;

7=5+4-3+2-1;

8=(5+4-3+2)*1;

9=5+4+3-2-1;

10=5+4+(3-2)*1;

11=5+4+3-2+1;

12=(5+4-3)*(2*1);

13=((5+4-3)*2)+1;

14=(5+4+3+2)*1;

15=5+4+3+2+1;

16=5+4+(3*2)+1;

17=5+(4*3)*(2-1);

18=5+(4*3)+2-1;

19=(5*4)-3+(2*1);

20=(5*4)-3+2+1;

21=(5*4)+3-(2*1);

22=(5*4)+3-2+1;

23=(5*4)+3*(2-1);

24=(5*4)+3+2-1;

25=(5*4)+3+(2*1);

26=(5*4)+3+2+1;

27=(5*4)+(3*2)+1;

28=5+(4*3*2)-1;

29=5+(4*3*2*1);

30=5+(4*3*2)+1;

31=((5*4*3)/2)+1;

32=5*(4+3)-2-1;

33=5*(4+3)-(2*1);

34=5*(4+3)-2+1;

35=5*(4+3)*(2-1);

36=5*(4+3)+2-1;

37=5*(4+3)+(2*1);

38=5*(4+3)+2+1;

(no equation for 39);

40=5*(4+3+2-1)

%40

step-by-step explanation: