Determine the number of integer solutions of x1 + x2 + x3 + x4 = 17, which x1 , x2 , x3 > 0 and 0 <= x4 <= 10
Determine the number of integer solutions of x1 + x2 + x3 + x4 = 17,...
Determine the number of integer solutions of x1 + x2 + x3 + x4-32, where a) xi 2 0, 1 3is4 b) x1, x2 2 2, x3, X4 2 1
Determine all the integer solutions to the equation X1 + X2 + X3 + X4-7 where xj 2 0 for all i - 1,2,3,4
How many integer solutions are there for the inequality : x1 + x2 + x3 + x4 ≤ 15 (a) if xi ≥ 0 (b) if 6 ≥ x1 ≥ 1, 6 ≥ x2 ≥ 1, x3 ≥ 0, x4 > 0 How many integer solutions are there for the inequality : x++ (a) if z 20 How many integer solutions are there for the inequality : x++ (a) if z 20
)Consider the non-negative integer solutions to x1 + x2+ x3 + x4 + x5 = 2020. (A) How many solutions does Equation (1) have satisfying 0 ≤ x1 ≤ 100? Explain. (B) Remember to explain your work. How many solutions does Equation (1) have satisfying 0 ≤x1 ≤ 100, 1 ≤x2 ≤ 150, 10 ≤x3 ≤ 220?
Find the number of solutions to x1 + x2 + x3 + x4 = 200 subject to xi E 220 (1 < i < 4) and x3, x4 < 50 in two ways: (i) by using the inclusion-exclusion principle, and (ii) using generating functions.
(1 point) Solve the system x +x2 x2 +x3 X1 +X4 X1 X2 X3 X4 +s
; Let at be a linear transformation as follows : T{x1,x2,x3,x4,x5} = {{x1-x3+2x2x5},{x2-x3+2x5},{x1+x2-2x3+x4+2x5},{2x2-2x3+x4+2x5}] a.) find the standard matrix representation A of T b.) find the basis of Col(A) c.) find a basis of Null(A) d.) is T 1-1? Is T onto?
Suppose that X1, X2, X3 and X4 are independent Poisson where E[X1] = lab E[X2] = 11 – a)b E[X3] = da(1 – b) E[X2] = X(1 — a)(1 – b) for some a and b between 0 and 1. Let S = X1 + X2+X3+X4, R= X1 + X2 and C = X1 + X3. (a) Find P(R = 10) (b) Find P(X1 = 6 S = 16 and R= 12). (c) Suppose we want to condition on the...
How many non-negative integer solutions are there to the following problem? x1 + x2 + x3 = 10 where x1 >= 2
9. Minimize x1 + x2 - X3, subject to 2x1 - 4x2 + x3 + x4 3xı + 5x2 + x3 +xs =2. Which of x1, x2, X3 should enter the basis, and which of x4, X5 should leave? Compute the new pair of basic variables, and find the cost at the new corner.