Six Fingers

Logic Level 3

 +    ×  ÷ =6 \large \square \ + \ \square \ - \ \square \ \times \ \square \ \div \ \square = 6

You are given that the numbers 1,2,3,41,2,3,4 and 55 are to be filled in the square boxes as shown above (without repetition).

By obeying the order of operations (BODMAS), find the total number of ways to arrange these 5 numbers such that the equation above is true.

Inspiration.

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