18 Questions
What is a sequence?
A list of numbers in a specific order
Which type of sequence has a common difference between successive terms?
Arithmetic sequence
Which notation is used to represent the sum of a sequence?
Sigma notation
What does 'Pi notation' represent?
Product of elements
What is the factorial of 0?
1
In counting theory, what does the 'sum rule' refer to?
Counting the total number of ways that a task can occur
What is a permutation?
An arrangement of objects in a specific order
What is the formula for the number of r permutations of a set of n elements?
$nP_r = \frac{n!}{(n-r)!}$
When calculating combinations, what does the order of the arrangement signify?
It is not important
How many permutations can be made from a set of 5 distinct elements?
$120$
What is the number of ways to choose 3 teams out of 16 teams for a competition?
$\binom{16}{3}$
If there are 6 people and only 2 seats available, how many ways can they be seated?
$6P2$
How many matches are played in total after the pool matches and before the final?
10
After the pool matches, who will play against the second-placed team of Pool D?
Winner of Pool C
According to the sum rule, if there are 5 ways to do a task and 3 ways to do another task, how many ways are there to do both tasks?
$5 + 3$ ways
What is the total number of choices for a representative to a university committee if there are 37 members of the mathematics faculty and 83 mathematics majors?
$37 \times 83$ choices
In a sequence of two tasks, if the first task can be done in 4 ways and the second task in 5 ways, how many ways are there to perform the entire procedure?
$4 \times 5$ ways
Who would play against the second-placed team of Pool B after the pool matches?
Winner of Pool A
This quiz covers the content on Sequences in the Counting Mathematics for Computing (IT1030) course, including Sigma Notation, Pi Notation, Permutations, Combinations, Sum Rule, and Product Rule. Learn about types of sequences like Finite and Infinite Sequences, and understand the difference between them.
Make Your Own Quizzes and Flashcards
Convert your notes into interactive study material.
Get started for free
