Determine how many integer solutions there are to x1 + x2 + x3 + x4 = 19,

Question:

Determine how many integer solutions there are to x1 + x2 + x3 + x4 = 19, if
(a) 0 ≤ x1 for all 1 ≤ i ≤ 4
(b) 0 ≤ x1 < 8 for all 1 ≤ i ≤ 4
(c) 0 ≤ x1 ≤ 5, 0 ≤ x2 ≤ 6, 3 ≤ x3 ≤ 7, 3 ≤ x4 ≤ 8
Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Question Posted: