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BIOLOGYHow many solutions are there to the equation $x_1 + x_2 + x_3 + x_4 + x_5 = 21,$ where $x_i$, i = 1, 2, 3, 4, 5, is a nonnegative integer such that a) $x_1 \geq 1?$ b) $x_i \geq 2$ for i = 1, 2, 3, 4, 5? c) 0 $\leq x_1 \leq 10?$ d) 0 $\leq x_1 \leq 3, 1 \leq x_2 \lt 4$, and $x_3 \geq 15$?