Answer all questions below and test your knowledge.
Question 1 of 10
How many ways can 5 distinct books be arranged on a shelf?
Question 2 of 10
The number of ways to choose 3 objects from 8 distinct objects is given by the binomial coefficient C(8,3). What is its value?
Question 3 of 10
A committee of 4 members is to be formed from 9 people, but two particular individuals cannot serve together. How many valid committees exist?
Question 4 of 10
Which is larger: the number of permutations of 6 distinct objects (6!) or the number of combinations of 6 objects taken 3 at a time (C(6,3))?
Question 5 of 10
How many onto functions exist from a set of 4 elements to a set of 2 elements?
Question 6 of 10
The number of ways to partition a set of n elements into k nonempty subsets is given by the Stirling numbers of the second kind, denoted S(n,k). What is S(4,2)?
Question 7 of 10
In how many ways can 3 red balls and 2 blue balls be arranged in a row if balls of the same color are indistinguishable?
Question 8 of 10
What is the cardinality of the power set of a set with 7 elements?
Question 9 of 10
Which expression represents the number of ways to select a committee of 5 people from 12, where the order of selection matters?
Question 10 of 10
How many distinct permutations can be formed from the letters of the word 'BANANA'?