Probability, Permutations, and Combinations Quiz

What is the value of 0 factorial?

• 10

• Undefined

• 1

• 0

In a talent show with 30 participants, what is the probability that a specific person performs first?

• 1/900

• 1/29

• 1/870

• 1/30

How do you calculate the number of permutations of 4 items?

• 4-1

• 4+4

• 4^2

• 4!

If a box contains 5 blue, 2 gold, and 2 green tiles, how many unique arrangements are possible?

• 362880

• 756

• 9!

• 5040

What is the formula for circular permutations of n items?

• n!

• n-1!

• n^2

• n/2

In a circular arrangement of 8 people, how many different ways can they be seated?

• 5040

• 40320

• 8!

• 720

What is the probability that a randomly chosen crayon from a box of 8 is red?

• 1/9

• 1/6

• 1/8

• 1/7

How does the order of items affect combinations?

• Order is sometimes important

• Order doesn't matter

• Order matters

• Order is always important

If you draw 5 letters from the alphabet, what is the probability they are all vowels?

• 1/65780

• 1/26

• 1/5

• 1/1000

Which of the following is an example of a combination?

• Assigning seats in a theater

• Ordering food at a restaurant

• Selecting a committee

• Arranging books on a shelf