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2012 Equal Expressions (Posted on 2012-07-15) Difficulty: 3 of 5
Use the indicated digits along with the six symbols: parantheses, exponentiation, division, multiplication, addition and subtraction, that is: (), ^, ÷, *, + and – to make an expression equal to 2012 in each of the following.

No digit can be used more that once. The digits corresponding to a given problem can be used in any order. A given symbol can be used more than once and, using less than six distinct symbols is allowed. Concatenating two or more digits is not allowed. Only standard mathematical usage is followed – that is, multiplication does not take precedence over division, addition does not take precedence over multiplication, and so on.

For example, expressions like: 3 + 5*2 - 2^3 or, (123 + 456)/789 are NOT allowed. However, expressions like 3 + 5*8 - 2^4 + 9 are allowed.

(A) 1, 2, 4, 5, 7, 8
(B) 2, 3, 4, 5, 7, 9
(C) 1, 2, 4, 5, 6, 7
(D) 1, 3, 5, 6, 7, 9
(E) 3, 4, 8, 9
(F) 1, 2, 3, 4, 5, 9
(G) 2, 5, 6, 7, 9
(H) 3, 5, 6, 7, 9
(I) 2, 3, 6, 7, 8

No Solution Yet Submitted by K Sengupta    
Rating: 1.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): PARTIAL answer | Comment 6 of 12 |
(In reply to re: PARTIAL answer by Charlie)

Come to think of it, it's not accidental that an operation is missing in E: with only 4 operands, one can have at most 3 diadic operations.

Edit: word diadic added.

Edited on July 15, 2012, 6:43 pm
  Posted by Charlie on 2012-07-15 18:41:23

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