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1 . How many solutions are there to the equation $x_1 + x_2 + x_3 = 13$, where $x_1 \geq 0$, $x_2 \geq 0$, $x_3 \geq 0$ are integers?

(a)

${15 \choose 2}$

(b)

${16 \choose 2}$

(c)

${13 \choose 2}$

(d)

${14 \choose 2}$