Discrete structures combinations
Not what you're looking for?
A women has 8 close friends.
(a) In how many ways can she invite five of these to dinner? Explain.
(i) Repeat part (a) with the added stipulation that two of her friends do not like each other so that if she invites one of them she cannot invite the other. Explain.
(ii) Repeat part (a), assuming that the eight friends consist of four single people and 2 married couples. If she invites a husband or wife she must invite the spouse. Explain.
Purchase this Solution
Solution Summary
The solution explains how to use the combination concept.
Solution Preview
(a) This is to select 5 out of 8. So there are C(8,5)=8!/(5!*3!)=56 ways.
(b) In the 56 ways in part (a), we remove the case that the two friends are ...
Purchase this Solution
Free BrainMass Quizzes
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.