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Problem of the Week 1126
Easy as 123
A classic puzzle is to use four 4s to make various integers. I recall how, over four decades ago when I was about 12 or 13 years old, I would work out as much as I could of this puzzle, which I saw in the newspaper in the J. A. H. Hunter column "Fun With Figures." Getting 88 is easy as
Can you get 88 using only the integers 1, 2, and 3, using each of them only once, and using the standard arithmetic operations, including factorials and repeating decimals?
To be more precise, use only 1, 2, and 3, each used once, and use any of the following functions in whatever order and however many times you wish ...
... and the following three operations, which work on raw digits only, not on more complicated expressions ...
... and of course as many parentheses as you wish.
Source: Dick Hess, All-Star Mathlete Puzzles, Sterling, New York, $6.95, 2009.
© Copyright 2009 Stan Wagon. Reproduced with permission.