As a solution to the four fours problem (using the number four no more than four times to come up with the solution, 31 is equal to (4!+4)/4+4!
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31 is prime so you can only multiply 1 and 31 to get 31. Using non-whole numbers you can get an infinite number of different options. For instance, 15.5 times 2 will make 31. Another example: 8 times 3.875 will also make 31.
2^(4+1)-3
The answer is 31C5 = 31!/[26!5!] = 169,911
You can make every number up to 15 using only 8, 4, 2, and 1 .If you want to expand your horizons all the way to 18, you'll need the next onein the same series. That's 16. Once you have that, you'll be able to make everynumber up to 31 .
to get the number 25 using 1234 = 31 - 2 - 4