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# Abeka Algebra 2 Quiz 35

Created by
@RevolutionaryDulcimer

combination

True

True

### What is the value of 5!?

<p>120</p> Signup and view all the answers

### What is the value of 3!(4-1)!?

<p>36</p> Signup and view all the answers

### What is the value of P?

<p>6720</p> Signup and view all the answers

### What is the value of C?

<p>1140</p> Signup and view all the answers

### How many possible combinations are there for a 3-digit security code using the numbers 0-9 if the numbers can be repeated?

<p>1000</p> Signup and view all the answers

### How many ways can 3 officers be elected from a senior class of 36 students?

<p>42,840</p> Signup and view all the answers

### If a bag contains 18 different colored marbles, how many different samples of 3 marbles can be drawn from the bag?

<p>816</p> Signup and view all the answers

## Study Notes

### Combinations and Factorials

• A combination refers to the number of ways to select individuals from a group without concern for the order of selection.
• Factorial notation is represented by an exclamation point (e.g., n!).
• The notation for combinations is denoted as "C".

### Factorial Calculations

• The value of 5! (5 factorial) is calculated as 5 × 4 × 3 × 2 × 1, which equals 120.
• The expression 3!(4-1)! translates into 3! × 3!, yielding a result of 36.

### Permutations and Combinations

• The value represented by P is 6720, indicating a permutation calculation involving specific arrangements.
• The value represented by C is 1140, indicating a combination calculation for selecting a group.

### Combinatorial Applications

• A 3-digit security code formed using numbers 0-9 allows for 1000 possible combinations when numbers can be repeated.
• For the election of 3 distinct officers (president, vice president, secretary) from a senior class of 36 members, there are 42,840 different ways to select candidates.

### Sample Selection

• Drawing samples from a group, such as selecting 3 marbles from 18 differently colored marbles, results in 816 unique combinations.

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## Description

Test your knowledge on combinations and factorials with this set of flashcards from Abeka Algebra 2 Quiz 35. Each card features a key concept or definition to reinforce your understanding of combinatorial mathematics and permutations.

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