Let \( N \) be the number of integral solution of the equation \( x...

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Let \( N \) be the number of integral solution of the equation \( x+y+z+w=15 \) where \( x \geq 0, y5 \), \( z \geq 2 \) and \( w \geq 1 \). Find the unit digit of \( N \).
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