Counting, Permutations & Combinations

"The batting order for eight players on a 10 person team". Is this a permutation, combination, or neither?

• Neither

• Permutation

• Combination

Tags

CCSS.HSS.CP.B.9

"The student body of 165 students wants to elect three representatives". Is this a permutation, combination, or neither?

• Combination

• Neither

• Permutation

Tags

CCSS.HSS.CP.B.9

There are 10 students at a meeting. They each give a Graduation Day card to everyone else. How many cards were given?

• 10

• 1

• 90

• 3,628,800

Tags

CCSS.HSS.CP.B.9

In a primary election, there are four candidates for mayor, five candidates for city treasurer, and two candidates for county attorney. In how many ways may voters mark their ballots if they vote in all three of the races?

• 11

• 1

• 40

• 4

Tags

CCSS.HSS.CP.B.9

A multiple choice test consists of 15 questions, each permitting a choice of 5 options. In how many ways may a student fill in the answers if they answer each question?

• 75

• 759,375

• 30,517,578,125

• 15

Tags

CCSS.HSS.CP.B.9

Suppose a True-False test has 20 questions. In how many ways may a student mark the test, if 7 questions are marked correctly and 13 incorrectly?

• 390,700,800

• 1,048,576

• 140

• 77,520

Tags

CCSS.HSS.CP.B.9

Among the seven nominees for two vacancies on the city council are three men and four women. In how many ways may these vacancies be filled with any two of the nominees?

• 12

• 7

• 21

• 42

Tags

CCSS.HSS.CP.B.9

Use the fundamental counting principle to determine the number of ways a 4-digit pin number can be created if the first digit cannot be zero.

• 9000

• 40

• 39

• 90

Tags

CCSS.HSS.CP.B.9

In how many different ways can a committee of three people be selected from a total of eight?

• 56

• 336

• 24

• 512

Tags

CCSS.HSS.CP.B.9

An ice cream parlor has 15 different flavors. Michelle orders a sundae and has to select 3 flavors. How many different selections are possible?

• 2730

• 45

• 14,348,907

• 455

Tags

CCSS.HSS.CP.B.9