to get 31 using the number 4 exactly 4 times, you can do: (4! + 4)/4 + 4!
4! is four factorial, which is 4x3x2x1, which is 24. So you have 24 + 4 = 28, /4 = 7, + 24 = 31.
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4!+(4+4!)/4
4! - 44/4 = 24 - 11 = 13
(44 - 4)/4
It could be: 4+4+4-4/4 = 11
To make 15 using only four 4s, we can use basic arithmetic operations such as addition, subtraction, multiplication, and division. One way to achieve this is (4 + 4 + 4) - 4 = 12 - 4 = 8. Another way is (4 x 4) - (4 ÷ 4) = 16 - 1 = 15. In total, there are several ways to make 15 using only four 4s, and it requires creative thinking and manipulation of numbers.