Question: How many solutions does the equation x + y + z + u = 20 have in non-negative integers if x 2,y 5, z 0,

How many solutions does the equation x + y + z + u = 20 have in non-negative integers if x 2,y 5, z 0, and u 8?

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

Question attached bellow 8. [Exercise 14] How many solutions are there for the equation x+ y+ z+ u = 20 for integers with the conditions x 2 2, y 2 4, z 2 0, and u 2 8. Explain your reasoning

Q:

1. How many 8-letter \"words\" can be formed, using 2 A's, 3 B's, and 3 C's? 2. How many 4-element subsets of {2, 3, 4, 5, 6, 7, 8} contain exactly two odd numbers? 3. How many distributions of 11...

Q:

(a) How many solutions are there of the equation \(x+y+z+t=14\), where \(x, y, z, t\) are non-negative integers? (b) How many solutions are there of the equation \(x+y+z+t=14\), where \(x, y, z, t\)...

Q:

steps would be appreciated More Practice Problems 1. Use generating function to solve the recurrence relation an = 2an-1 + 3an-2 if ao = 0 and a1 = 8. 2. A noted vexillologist tells you that 30 of...

Q:

1 Let X be the set of all different eight letter words that can be obtained by permuting the letters of the word DEBUNKED How many elements does X contain In how many of them there are neighbouring...

Q:

3. Find the number of solutions of the equation x+y +z +w = 17, where x, y, z, w are nonnegative integers such that x 3, y 4, z 5, and w 8.

Q:

##################>### #################j###########l###########i### ## ###################H#####bjbj#################### ###.4##h##h##...

Q:

Accept 7 digit number from the user. Write C program that checks (i) whether the number is divisible by 3 (ii) whether the number is divisible by four. For example: if the input is 1234533, then...

Q:

1) (1 point) FOR EACH PROBLEM ON THIS ASSIGNMENT, ENSURE THAT YOU TAKE NOTE OF HOW MANY ATTEMPTS ARE GIVEN. SOME OF THE PROBLEMS MAY ONLY ALLOW FOR ONE OR TWO ATTEMPTS DUE TO THE NATURE OF THE...

Q:

/w EPDw ULLTE3N 7278A295 /w EdAKMB1slQ1 40 Unanswered MATH 105 Exam 1 Please be sure to save at least once every 15 minutes. If you leave this page without saving, or if your session times out, any...

Q:

In Figure P32.69 take Є = 6.00 V, R1 = 5.00 , and R2 = 1.00 . The inductor has negligible resistance. When the switch is opened after having been closed for a long time, the current in the...

Q:

The Penang Touring Company (PTC) purchased 20 tour buses 3 years ago for $98,000 each, and the current market value is $10,000. The president plans to contract for a major overhaul at a cost of...

Q:

22. Neville Enterprises has a number of fully depreciated assets that are still being used in the main operations of the business. Because the assets are fully depreciated, the president of the...

Q:

Mar. 1 Inventory 20 units @ $32 $640 June 16 Purchase 28 units @ $32 896 Nov. 28 Purchase 39 units @ $35 1,365 87 units $2,901 There are 14 units of the product in the physical inventory at November...