10/24 AMDM: Permutations, Combinations, & Fund Counting Princ.

A test has 10 questions altogether. There are 6 multiple choice questions with 4 choices each and 4 true/false questions. If you only mark one response for each question, how many ways could the test be answered?

• 960

• 192

• 65536

• 151,200

Tags

CCSS.HSS.CP.B.9

How many ways can a class of 125 students select a group of 5 students to represent the class?

Mathematical Equivalence

ON

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CCSS.HSS.CP.B.9

How many ways can 13 gymnasts finish in 1st, 2nd, and 3rd place?

• 39

• 286

• 1716

• 2197

Tags

CCSS.HSS.CP.B.9

How many ways can 4 people be selected for customer service associate jobs from 30 applicants?

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CCSS.HSS.CP.B.9

How many ways can ten students fill the student government positions of president, vice president, secretary, treasurer, and communications officer?

• 50

• 252

• 30,240

• 100,000

Tags

CCSS.HSS.CP.B.9

100 students are participating in a science fair where a gold, silver, and bronze medal will be awarded. How many ways can these medals be awarded?

• 300

• 161,700

• 970,200

• 1,000,000

Tags

CCSS.HSS.CP.B.9

A restaurant is running a special on small ice cream sundaes. You must choose one item from each category.

The ice cream flavors are: chocolate, vanilla, and strawberry.

The topping choices are: strawberries, chocolate syrup, caramel, or pinapple.

Whipped Cream: With whipped cream or without whipped cream.

Nut Topping: peanuts, pecans, or no nut topping.

How many different ways can you make one of these ice cream sundaes?

Tags

CCSS.HSS.CP.B.9

Ms. Cowan is going to make her students work in groups of 3. Ms. Cowan has 156 AMDM students in all. If she does not care which period the students are in, how many different groups of 3 could she make?

• 52

• 468

• 620,620

• 3,732,720

Tags

CCSS.HSS.CP.B.9

Decide if this situation is a permutation or a combination. If this is a combination type C and if it is a permutation type P.

There are 10 applicants for two jobs: computer programmer and software tester.

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CCSS.HSS.CP.B.9

Decide if this situation is a permutation or a combination. If this is a combination type C and if it is a permutation type P.

75 students are competing in a race and the top 8 finishers get to move on to the state competition.

Tags

CCSS.HSS.CP.B.9