Can You Solve This Unique Digit Puzzle to Reach 975?

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Discussion Overview

The discussion revolves around creating an arithmetic expression that equals 975 using each digit from 0 to 9 exactly once, employing basic arithmetic operations and concatenation. The scope includes problem-solving and mathematical reasoning.

Discussion Character

  • Exploratory, Homework-related, Mathematical reasoning

Main Points Raised

  • One participant presents the challenge of forming an expression that equals 975 using the digits 0-9 exactly once with specified operations.
  • Another participant suggests that there are likely many solutions to this problem.
  • A participant shares a potential solution but does not detail it.
  • Some participants express frustration about the difficulty of the task, indicating that they feel their efforts may have been in vain.
  • One participant proposes a variation of the challenge by suggesting the use of only the digits 1-9, excluding zero.

Areas of Agreement / Disagreement

Participants generally agree that the problem is challenging and that multiple solutions may exist. However, there is no consensus on specific solutions or approaches.

Contextual Notes

The discussion does not clarify the specific methods or strategies for solving the puzzle, nor does it resolve the implications of using or excluding the digit zero.

Who May Find This Useful

Individuals interested in mathematical puzzles, problem-solving, or recreational mathematics may find this discussion engaging.

K Sengupta
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Using each of the ten digits 0 to 9 exactly once, and using only the arithmetic operators: addition(+), subtraction(-), division(/), multiplication(*) and parentheses, generate an expression that equals 975.

Note:

Concatenation of two or more digits is permissible, so that, expressions like:
12*(4/3) + 56-78+9 = 3 are permissible.

However, utilization of exponentiation(^), factorial(!), or other mathematical expressions is not allowed.

For example, expressions like: 1834567^0 + 2! = 2 are not valid.
 
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975 + (0 * 123468)
Of course, this is only one of a very large number of solutions.
 
Last edited:
One solution:

(89-76)*450/(1+2+3) = 975
 
jimmysnyder said:
975 + (0 * 123468)

:smile: i did all that thinkin' fer nothin' :-p!
 
it's like countdown but twice as easy
 
(49-10)*(72+6-3)/(8-5)
 
how about with no zero? 123456789 only
 
974 - 1 + 3 + 2 - 5 - 6 + 8
 
lisab said:
:smile: i did all that thinkin' fer nothin' :-p!
I hate when that happens. And it happens all the time.
 

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