Permutation, Combination, or Counting Problem

Forming a committee of 5 members from 20 people

• Permutation

• Combination

A lock has four dials. On each dial are the digits 0 to 9. How many possible combinations are there?

• 40

• 5040

• 6561

• 10,000

How many ways ways can you arrange the letters in the word math?

• 15

• 4

• 24

• 48

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

How many 2-digit numbers can you make using the digits 1, 2, 3, & 4 without repeating the digits?

• 90

• 100

• 12

• 24

Robin has five different pairs of shoes that match with 6 different pairs of socks.  How many shoes-and-socks combinations can she make if she selects one pair of shoes and one pair of socks?

• 1

• 30

• 5!

• 6!

A family of 3 plans to sit in the same row at a movie theater. How many ways can the family be seated in 3 seats?

• 3

• 6

• 1

₃P₃

• 0

• 3

• 6

• 9

How many distinct permutations can be formed using the letters of the word TENNESSEE?

• 3780

• 362,880

• 9

• I can't think of another way you could miss this problem so this isn't the correct answer.

Choosing three of your classmates to attend your party

• Permutation

• Combination