+36 The instructions for this assignment are:
Use the digits in the year 2021 and the operations +, -, x, ÷, √ (square root), ^ (raise to a power), “!” (factorial), combinations and permutations — along with parentheses, brackets, or other grouping symbols — to write expressions for the counting numbers 1 through 100.
• All four digits must be used in each expression.
• Only the digits 2, 0, 2, 1 may be used.
• The decimal point may be used, as in .2, .02, etc. (repeating decimals as well)
• Multi-digit numbers such as 20 or 201 may be used.
• Double (!!), triple (!!!) or larger factorials are not permitted
Could someone please help me? I have been stuck on this for a really long time.
Thanks!
(Of course it would be great if someone could give all the digits, but it's fine if you have an idea for some digits.)
+129852 Well I can do a few to get you started
1 = 2 + 0 - 2 + 1
2 = (2 + 0) / 2 + 1
3 = 2^2 - 1 - 0
4 = 2^2 - 0/1
5 = 2 + 0 + 2 + 1
6 = (2 + 1)*2 + 0
7 = 10/2 + 2
8 = (2 + 1)! + 2 - 0
9 = (2 + 1)^2 + 0/2
10 = (20/2) / 1
11 = 20 / 2 + 1
12 = 12 + 0/2
13 = 12 + (0/2)! ( 0! = 1)
14 = 12 + 2 + 0
15 = C(10,2) / ( 2! + 0! )
16 = 2^ ( 0! + 1! + 2!)
17 = 20 - 2 -1
18 = 20 - (2/1)!
19 = 20 - 2! + 1!
20 = 20 / (2 -1)
21 = 20 + 2 - 1
22 = 20 + 2/1
23 = 20 + 2 + 1 (the easiest!!! LOL!!!)
24 = ( 12) ( 2 + 0)
25 = 12*2 + 0!
26 = 20 + (1 + 2)!
See if you can do some more.....maybe we can figure out some others, too !!!!\
+129852 Some more
39 = 20*2 - 1
40 =10 (2 + 2)
41 = 20 * 2 + 1
60 = 20 ( 2 + 1)
65= C(12,2) - 0!
66 = C(12,2) - 0
67 =C(12,2) + 0!
43 = C (10,2) - 2
47 = C(10,2) + 2
100 = 102 - 2
98 = 10^2 - 2
+129852 And
42 = 21*2 - 0
43 = 21 *2 + 0!
63 = 2^( [ 2 + 1]!) - 0!
64 = 2^([2 + 1)! ] + 0
32 = 10 + 22
50 = 10^2/2
34 = (2^2)! + 10
35 = [ (2 + 1) 1] ^2 - 0!
36 = [ (2 + 1)! ] ^2 - 0
27 = [ (2 ! + 0! ) ^( 2 + 1)
60 = (10/2)! / 2
+129852 37 = (2! + 0!)! ^( 2) + 1
31 = (2! + 0!)! / .2 + 1
99 = 20/.2 - 1
59 = 12/.2 - 0!
61 = 12/.2 + 0!
33 = 2^(1/.2) + 0!
31 = 2^(1/.2) - 0!
52 = (10/.2) + 2
48 = (10/.2) - 2
28 = C(10-2, 2)
90 = C(10,2) * 2
55 = (12 - 0!)/.2
