Counting and boolean algebra

Reference no: EM13937723

Counting and Boolean Algebra 1. 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.

(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 t

Reference no: EM13937723

Questions Cloud

Describe how the project aligns with the organization : Goal of Case Study One is to apply project management skills acquired in the first three modules to a real-world project or situation - Dallion was not given a project charter so he begins the project by creating a charter for approval by management..

Create a vector class called vectordouble : Two constructors: a default constructor that creates a dynamic array for 50 elements and a constructor with one int argument for the number of elements in the initial dynamic array.

Attractiveness of the dairy processing industry : Evaluate the attractiveness of the dairy processing industry in both Hong Kong and mainland China by conducting a systematic analysis of the competitive forces. Specify the key changes that have occurred in this industry since the 2008 melamine-in..

What does the analysis tell you about overall profitabity : What does this analysis tell you about the overall profitability of Accent Company over the 5-year period? What does this analysis tell you about what has happened to Accent's amount of debt over the past 5 years?

Counting and boolean algebra : Counting and Boolean Algebra 1. 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.

Which method of computing net income will result : Which method of computing net income will result in the higher net income? Why?

What output will be produced if the exception is thrown : What output will be produced if the exception is thrown with the constructor with parameters with the following actual parameter?

Complete the schedule of accounts receivable : The respective subsidiary ledgers, complete the Schedule of Accounts Receivable, Schedule of Inventory and Schedule of Accounts Payable. Ensure the totals agree with the balance in the control accounts.

If a company produces less than it sells : Which method of computing net income will result in the higher net income? Why?

User Account

All Pages