Combinations and Permutations
Not what you're looking for?
1) Identify each of the following 1) as a permutation or combination and 2) as with or without replacement:
a) Social security numbers
b) Books in your backpack
c) Numbers chosen for the "Big" lotto
d) The cards in your hand for a card game
e) Lunch chosen by a student from the cafeteria menu
2) A cafeteria offers 4 main menu selections, 5 salad selections, 3 fruit selections and 8 drink selections. How many ways can a student choose a lunch if...
f) The student chooses one of each of the selections?
g) The student chooses two different main menu selections (must be different) and one salad?
h) The student chooses 3 salads (different), and a fruit?
i) The student chooses 4 salads (must be different), and a fruit?
j) The student chooses 5 items (main, salad or fruit), all different, and a drink?
k) The student chooses 2 different main menu items, 2 different salads, 2 pieces of different fruits and 1 drink (he plays football and is hungry!)
l) Which of these are combinations and which are permutations? Which are with and which without replacement?
Purchase this Solution
Solution Preview
1) Identify each of the following 1) as a permutation or combination and 2) as with or without replacement:
a) Social security numbers
Combination with replacement:
If you think of SSN's as combinations of the numbers 0 - 9, then there is replacement, because a number can appear more than once in any given SSN.
b) Books in your backpack
Combination or permutation without replacement.
It depends on how you think of this. If the scenario is that you have a given number of books in your bag and you want to see how many ways you can pull them out, this would be a permutation. On the other hand, you had a large number of books in your ...
Purchase this Solution
Free BrainMass Quizzes
Probability Quiz
Some questions on probability
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.
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.