Permutations and Combinations

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

• 15
• 40
• 80
• 10

Tags

CCSS.HSS.CP.B.9

There are 6 roads from Ponder to Justin, 2 roads from Justin to Halslet, and 3 roads from Haslet to Saginaw.  How many possible routes are there from Ponder to Saginaw using only these roads and no backtracking? 

• 12
• 11
• 18
• 36

Tags

CCSS.HSS.CP.B.9

Freshman year at UNT you must take English, Mathematics, Science, and Social Studies.       
* English options are  Freshman English and Writing 101
* Mathematics options are College Algebra, Business Math, Adv. Algebra,  and Statistics
* Science options are Biology, Astronomy, Physical Science, and Earth Science
*Social Studies options are World History, US History, and Human Geography

How many ways can you pick classes, choosing exactly one from each list?

• 288
• 6912
• 13
• 96

Tags

CCSS.HSS.CP.B.9

Student council has 24 members.  In how many different ways can a president, vice-president, treasurer, historian, and secretary be selected?  (Order matters)

• 5,100,480
• 0
• 42,504
• 5.17 x 10²¹

Tags

CCSS.HSS.CP.B.9

A team of 17 volleyball players needs to choose three players to refill the water cooler.  How many different ways can the players be chosen?  (Order does not matter)

• 3360
• 560
• 4080
• 680

Tags

CCSS.HSS.CP.B.9

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

• 90
• 100
• 12
• 24

Tags

CCSS.HSS.CP.B.9

₂₀C₁₈

• 0
• 1
• 190
• 1140

Tags

CCSS.HSS.CP.B.9

₁₂P₄

• 24
• 132
• 1320
• 11880

Tags

CCSS.HSS.CP.B.9

Permutation, combination or neither:
Rob and Mary are planning trips to 9 countries this year.  There are 13 countries they would like to visit.  They are deciding which countries to skip.

• combination
• permutation
• neither

Tags

CCSS.HSS.CP.B.9

Permutation, combination or neither:
The batting order for seven players on a 12 person team.

• combination
• permutation
• neither

Tags

CCSS.HSS.CP.B.9