Does it seem impossible to count?

Logic Level 5

\[ \LARGE 2 \ \ \ \ \ 2 \ \ \ \ \ 2 \ \ = \ \ 2 \]

Without touching the right side of the equation, can you find the number of ways you can make the equation true? You are only allowed to use fundamental operators like addition, subtraction, multiplication, division and parenthesis.

Details and assumptions:

  • You must use parenthesis.

  • You can use the parenthesis in in two ways, i.e. \((2+2)-2=2\) and \(2+(2-2)=2\) are considered distinct.

  • You can combine digits.

  • BODMAS is applied.

  • You are not allowed to use negative integers, i.e, \( (-2\times-2)-2 \) or \( -2\times \dfrac2{(-2)}\) is not allowed

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