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10. Combinatorics & Probability

Combinatorics

10. Combinatorics & Probability

Combinatorics

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Fundamental Counting Principle

Fundamental Counting Principle

Introduction to Permutations

Introduction to Permutations

Permutations of Non-Distinct Objects

Permutations of Non-Distinct Objects

Permutations vs. Combinations

Permutations vs. Combinations

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Multiple Choice
How many possible outcomes are there if you roll 5 dice?
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Multiple Choice
How many options are there for license plates with any three letters (A-Z) followed by any 3 numbers (0-9)?
163
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Multiple Choice
Phone numbers are 10 digits long. How many possible phone numbers are there if the 1^st and 4^th numbers can't be 0?
165
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Multiple Choice
A student formed a club at their school. They have 13 members, and need to elect a president, vice president, and treasurer. How many ways are there to fill these officer positions?
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Textbook Question
In Exercises 39–48, find the term indicated in each expansion. (x − 1/2)^9; fourth term
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Textbook Question
In Exercises 39–48, find the term indicated in each expansion. (x²+y³)^8; sixth term
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Textbook Question
In Exercises 39–48, find the term indicated in each expansion. (x − 1)^9; fifth term
124
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Textbook Question
In Exercises 39–48, find the term indicated in each expansion. (2x + y)^6; third term
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