Strictly homework not quiz, also if you could show step by step:) thank you! **Evaluate the Expression**\[ _9P_2 \]**The solution is** \[ \_\_ \]### Explanation:The expression $ _9P_2 $ refers to a permutation problem, where you need to find the number of ways to arrange 2 items out of a total of 9.The formula for permutations is:\[ _nP_r = \frac{n!}{(n-r)!} \]For this problem:- $ n = 9 $- $ r = 2 $Substitute the values into the formula:\[ _9P_2 = \frac{9!}{(9-2)!} = \frac{9!}{7!} \]This simplifies to:\[ _9P_2 = 9 \times 8 = 72 \]Thus, the solution is 72.

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Description: Strictly homework not quiz, also if you could show step by step:) thank you! **Evaluate the Expression**\[ _9P_2 \]**The solution is** \[ \_\_ \]### Explanation:The expression $ _9P_2 $ refers to a permutation problem, where you need to find the nu

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Answered: Evaluate the expression. 9P2 The…

Math

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Evaluate the expression. 9P2 The solution is

Advanced Engineering Mathematics

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ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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Problem 1RQ

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Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.

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Strictly homework not quiz, also if you could show step by step:) thank you!

**Evaluate the Expression**

\[ _9P_2 \]

**The solution is** \[ \_\_ \]

### Explanation:

The expression $ _9P_2 $ refers to a permutation problem, where you need to find the number of ways to arrange 2 items out of a total of 9.

The formula for permutations is:

\[ _nP_r = \frac{n!}{(n-r)!} \]

For this problem:

- $ n = 9 $
- $ r = 2 $

Substitute the values into the formula:

\[ _9P_2 = \frac{9!}{(9-2)!} = \frac{9!}{7!} \]

This simplifies to:

\[ _9P_2 = 9 \times 8 = 72 \]

Thus, the solution is 72.

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