Evaluate the given expression and express the result using the usual format for writing numbers (instead of scientific notation). 48 P2 48 P2 =D %3D
Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
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**Evaluating Permutations**
### Task
Evaluate the given expression and express the result using the usual format for writing numbers (instead of scientific notation).
\[ ^{48}P_2 \]
\[ ^{48}P_2 = \boxed{\phantom{0}} \]
### Instructions
Enter your answer in the answer box and then click "Check Answer."
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### Description
This activity prompts the user to evaluate the permutation expression \(^{48}P_2\).
**Background**:
In combinatorics, a permutation is an arrangement of all the members of a set into some sequence or order. When evaluating \(^{n}P_{r}\), it means you are selecting 'r' objects from 'n' with attention to the order of arrangement.
**Formula**:
\[ ^{n}P_{r} = \frac{n!}{(n-r)!} \]
In this specific case:
\[ ^{48}P_{2} = \frac{48!}{(48-2)!} = \frac{48!}{46!} \]
Simplifying this, you only need to consider the first two factors of 48 factorial:
\[ ^{48}P_{2} = 48 \times 47 \]
**Note**: The calculator will handle the factorial calculation for you when you input the computation.
**Graph/Diagram Description**:
There is no graph or diagram in this part of the text.
### Additional Features on the Website:
- **Contents**: Provides topics covered.
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- **Tools**: Utility and support options for calculations and submissions.
### Submission:
After computing the answer, enter it in the provided box and press "Check Answer" to confirm if it is correct.
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