Non negative integer solutions for the equation

Reference no: EM13937708

1. Given that there are 100 elements in A1, 1000 in A2, and 10,000 in A3, ?nd the number of elements in A1 ∪A2 ∪A3 in each of the cases below. (a) A1 ⊆ A2 and A2 ⊆ A3 (b) the sets are pairwise disjoint
Draw, and use, relevant Venn diagrams in each case.

2. Consider the non negative integer solutions for the equation x1 + x2 + x3 + x4 + x5 = 40. (a) How many distinct solutions are there? (b) How many distinct solutions are there if x1 ≥ 10? (c) How many distinct solutions are there if x1 < 20? (d) How many distinct solutions are there if x1 < 20 and x2 < 5?

3. (a) Make a table of values for the function f(x,y,z) = xy + yz + (x + y)z and use it to convert the function to disjunctive normal form (a sum of products). (b) Use the laws for boolean algebras to convert g(x,y,z) = x(y + z) + (xy) (x + z) into disjunctive normal form.

Reference no: EM13937708

Questions Cloud

Convert the function to disjunctive normal : Given that there are 100 elements in A1, 1000 in A2, and 10, 000 in A3, find the number of elements in A1 ∪ A2 ∪ A3 in each of the cases below.

Convert the following infix expressions to postfix : Convert the following infix expressions to postfix

Calculate the density of an irregularly shaped rock : Write an explanation to someone who does not know how to make proper measurements on how to measure the following line with the ruler.

What is the dividend rate on preferred stock : What is the par value of the preferred stock? If the total annual dividend on preferred stock is $25,200, what is the dividend rate on preferred stock? How many shares of common stock are outstanding?

Non negative integer solutions for the equation : Given that there are 100 elements in A1, 1000 in A2, and 10,000 in A3, ?nd the number of elements in A1 ∪A2 ∪A3 in each of the cases below. (a) A1 ⊆ A2 and A2 ⊆ A3 (b) the sets are pairwise disjoint Draw, and use, relevant Venn diagrams in each cas..

What is the output from the sequence of stack operations : What is the output from the following sequence of stack operations? (please include the code and .exe)

Find the pressure at point b : Question 1: Find an expression for {density of water at 4°C} if the following are known: {acceleration due to gravity, specific gravity, fluid volume, weight} Question 2: Find the pressure at point B if the following are known:

What are the current restocking costs : The Trektronics store begins each week with 220 phasers in stock. This stock is depleted each week and reordered. The carrying cost per phaser is $17 per year and the fixed order cost is $32. What are the current total carrying costs? What are the cu..

Find a disease that is caused by chromosomal mutations : Research and find a disease that is caused by chromosomal mutations. When does the mutation occur? What chromosomes are affected? What are the consequences?

User Account

All Pages