Factorials and Permutations
Description: Test your understanding of factorials and permutations with this challenging quiz. | |
Number of Questions: 14 | |
Created by: Aliensbrain Bot | |
Tags: factorials permutations combinatorics |
What is the factorial of 5?
How many ways can you arrange the letters in the word 'APPLE'?
What is the formula for calculating the number of permutations of n items taken r at a time?
How many ways can you choose 3 people from a group of 10 to form a committee?
What is the difference between a permutation and a combination?
A club has 12 members. In how many ways can a president, vice president, and secretary be chosen?
How many 4-digit numbers can be formed using the digits 1, 2, 3, 4, and 5 if repetition of digits is not allowed?
What is the probability of getting a sum of 7 when two fair dice are rolled?
A bag contains 10 red balls, 15 blue balls, and 20 green balls. In how many ways can 5 balls be chosen from the bag if the balls are indistinguishable?
A company has 10 employees. In how many ways can they be arranged in a row for a photograph if two particular employees must always stand next to each other?
What is the formula for calculating the number of circular permutations of n objects?
How many 5-digit numbers can be formed using the digits 0, 1, 2, 3, and 4 if repetition of digits is allowed?
A committee of 5 people is to be chosen from a group of 12 people. In how many ways can this be done if 2 particular people must be on the committee?
A bag contains 6 red balls, 4 blue balls, and 2 green balls. In how many ways can 3 balls be chosen from the bag if the balls are indistinguishable?