Permutation Quizzes & Trivia

So it’s math again. You need to brush up a bit on your permutation skills. Let’s start right now: according to Andre’s theorem, what is the exponential generating function of the numbers En, where En is the number of alternating permutations of the set {1, 2, 3, …, n} and the first several numbers are E0=1, E1=1, E2=1, E3=2, E4=5, E5=16, E6=61, E7= 272?

What is the solution to the Josephus problem? What are the Langford pairing in the sequence 1, 1, 2, 2, …, n, n, if 2000000002 is the value of n? Are you still here with me? Regardless of your answer, look this one up! It’s one hot topic!

Counting Principle And Permutation

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Questions: 22 | Attempts: 94 | Last updated: Jan 15, 2013

Sample Question
How many ways can 10 students win a race?

2!

5!

10!

Basic Concepts Of Permutations And Combinations

Questions: 86 | Attempts: 29 | Last updated: Feb 14, 2013

Sample Question
is evaluated as

43

34

24

None of these

Permutation And Combination Quiz

Questions: 6 | Attempts: 6 | Last updated: Apr 17, 2017

Sample Question
Of the films Empty Set Studios released last year, 60% were comedies and the rest were horror films. 75% of the comedies were profitable, but 75% of the horror moves were unprofitable. If the studio made a total of 40 films, and broke even on none of them, how many of their films were profitable?

18

19

20

21

22

Permutation Questions & Answers

How many different ways can I arrange the letters of the word ALNEBRAS?

How is the answer not 40,320

How many different license plates are possible if the first two places are numbers and the last two are letters (with repeating numbers or letters)?

67600

How many different passwords can be created using your letters while keeping QWERTY together? For security, an e-mail program requires you to have a ten-character password adn change it every three...

30Consider QWERTY as a single item. 5!/[(2!)(2!)]

Of the films Empty Set Studios released last year, 60% were comedies and the rest were horror films. 75% of the comedies were profitable, but 75% of the horror moves were unprofitable. If the...