Combinations, Permutations, Factorials

What is the number of permutations of the word "LEADER"?

• 360

• 720

• 120

• 240

How many ways can 5 books be arranged on a shelf?

• 120

• 60

• 24

• 720

In how many ways can a committee of 3 members be selected from a group of 10 people?

• 120

• 720

• 210

• 10

In a Permutation the order of the outcomes ​ ​ (a)   , but in a Combination the order​ (b)  

• matters

• doesn't matter

Calculate ₈P₂

Mathematical Equivalence

OFF

How many ways can 8 runners finish in the top 3 places where the prizes for 1^st, 2^nd, and 3^rd are all different and matter?

Mathematical Equivalence

ON

The Nebraska license plate has 6 characters, each one filled with a number (0-9) or a letter. How many license plates are possible?

• 36

• 2176782336

• 60

• 1402410240

How many different ways can a president, vice-president, and secretary be chosen from a club of 10 members?

• 720

• 120

• 1000

• 80

What is the value of 8!

• 40320

• 36

• 362880

• 5040

The number of possibilities if there are 45 applicants for three customer service positions

• combination

• permutation

• neither