"Where the mind is without fear and the head is held high; Where knowledge is free; Where the world has not been broken up into fragments by narrow domestic walls; Where words come from the depth of truth; Where tireless striving stretches its arms toward perfection; Where the clear stream of reason has not lost its way into the dreary desert sand of dead habit; Into that heaven of freedom it should be our intent. ( my adaption from Rabindranath Tagores famous lines)

Monday, September 21, 2009

Arithmetic Recreations

Arithmetic Recreations
Before we tackle the FOUR FOURS Problem which we carry out in my next session it is easier to start with the 1234 problem which has the same rules. Here we have to express all the numbers from 1 to 100 using the digits only once in each expression. Remember all the 4 digits must be used only once to form the number. The notations allowable are Multiplication (x), division (/), addition (+) and subtraction (-). We also define that the only other symbols to attach to a digit are the decimal (.), factorial (! - For example 4! = 4 x 3 x 2 x 1 =24), and (exponential - a digit raised to the power of another digit). There are several solutions and to make it a little different I am excluding the square root function in my solution.

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