+267 Find the number of solutions to
x_1 + x_2 + x_3 + x_4 + x_5 \le 1
in nonnegative integers.
+15134 The number of solutions to
\(x_1 + x_2 + x_3 + x_4 + x_5 \le 1\)
in nonnegative integers:
\(Each\ x_n\ can\ become\ =1, the\ remainings\ x_n\ become =0,\\ or\ all\ x_n\ become =0.\)
\(Example:\\ x_1\in \{1\}\\ x_{2}, x_{3},x_{4},x_{5} \in \{0\}\\ \color{blue}or\\ x_1,x_2, x_3,x_4,x_5 \in \{0\}\)
\(\color{blue}The\ number\ of\ solutions\ for\ nonnegative\ integers\ is\ 6.\)
!
