Evaluate the given expression and express the result using the usual format for writing numbers (instead of scientific notation). 45 P2 45P2 %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.
![**Evaluate the given expression and express the result using the usual format for writing numbers (instead of scientific notation).**
\[ ^{45}P_2 \]
\[ ^{45}P_2 = \text{[Box for the answer]} \]
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This problem requires calculating the permutation of selecting 2 objects from a total of 45, represented by \(^nP_r\). The permutation formula is:
\[ ^nP_r = \frac{n!}{(n-r)!} \]
For this problem, \(n = 45\) and \(r = 2\):
\[ ^{45}P_2 = \frac{45!}{(45-2)!} = \frac{45 \times 44}{1} = 1980 \]
Therefore, \(^ {45}P_2 = 1980\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd9907483-a41f-491a-9684-8dee08aa60aa%2F4b71cef2-a110-469e-af03-8b398816c42c%2F0r06e49_processed.png&w=3840&q=75)
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