Permutations and Combinations Theory Quiz
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Permutations and Combinations Theory Quiz

Created by
@UnselfishAloe

Questions and Answers

In the context of forming passwords with four digits, how many distinct passwords are possible?

10,000

What is the fundamental activity in mathematics mentioned in the text?

Counting

What is the central theory in problems of counting a large number of objects?

Theory of Permutations and Combinations

What enables us to count objects without listing or enumerating them?

<p>Factorial function</p> Signup and view all the answers

Which function was used to calculate the total number of distinct possible passwords?

<p>Multiplication function</p> Signup and view all the answers

What is formed by four of the ten digits on the smartphone screen?

<p>Passcode</p> Signup and view all the answers

What are the two methods of counting mentioned in the text?

<p>Permutations and combinations</p> Signup and view all the answers

In how many ways can the eleven players take positions for the photograph?

<p>462</p> Signup and view all the answers

What is the collection of all possible outcomes of an experiment called?

<p>Sample space</p> Signup and view all the answers

What do permutations refer to?

<p>Number of different rearrangements of given objects when order is important</p> Signup and view all the answers

What are the fundamental principles of counting used for?

<p>To determine the number of different outcomes</p> Signup and view all the answers

What are tree diagrams and fundamental principles of counting useful for?

<p>To count the total number of possible outcomes</p> Signup and view all the answers

What do combinations refer to?

<p>Number of different selections from a given set of objects when order is not important</p> Signup and view all the answers

What do tree diagrams represent?

<p>Possible outcomes of an experiment</p> Signup and view all the answers

"In how many different ways can the eleven players take positions for the photograph?" This question is related to which mathematical concept?

<p>&quot;Permutations&quot;</p> Signup and view all the answers

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