+11912 +11912 +118608 +8 +11912 May 24, 2014
+118608 How many solutions are there to the equation x1 + x2 + x3 + x4 + x5 = 21, where xi , i = 1, 2, 3, 4, 5, is a nonnegative integer such that a) x1 ≥ 1? b) xi ≥ 2 for i = 1, 2, 3, 4, 5? c) 0 ≤ x1 ≤ 10? d) 0 ≤ x1 ≤ 3, 1 ≤ x2 < 4, and x3 ≥ 15?