# Play with the numbers!

$\large a + b + c + d + e = 120$

Let $$a, b, c, d, e$$ be positive integers which satisfy the equation above such that $$a \geq 1$$, $$b \geq 2$$, $$c \geq 3$$, $$d \geq 4$$ and $$e \geq 5$$. Then find the number of possible ordered 5-tuples $$(a,b,c,d,e)$$.

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