AMDM: Unit 2b Counting Techniques Review

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

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

• 625

• 234,531,275

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

• 39

• 256

• 1716

• 2197

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

• 120

• 27,405

• 657,720

• 810,000

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

How many distinct permutations can be made from the letters in the word MULTIPLY? Enter your response without commas.

100 students are participating in a science fair where a gold, silver, and bronze medal will be awarded. How many ways can these top 3 places be filled?

• 300

• 161,700

• 970,200

• 1,000,000

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

On an ice hockey team of 45 players, only 9 can play at any given time. How many different groups of 9 people could be on the ice?

How many distinct permutations can be made from the letters in the word GRADUATE? Enter your response without commas.