Evaluate the permutation.
​P(37​,17​)
Question content area bottom
Part 1
​P(37​,17​)equals
  
enter your response here
​(Use scientific notation. Use the multiplication symbol in the math palette as needed. Round to four decimal places as​ needed.)

The formula for permutations is:

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

Here, \( n = 37 \) and \( r = 17 \). We can now calculate:

\[
P(37, 17) = \frac{37!}{(37 - 17)!} = \frac{37!}{20!}
\]

We'll compute this result and express it in scientific notation. Let me do the calculations.The value of \( P(37, 17) \) is:

\[
P(37, 17) = 5.6573 \times 10^{24}
\]

Rounded to four decimal places, this is the result in scientific notation.

Would you like any further details or explanations?

Here are five related questions you might find useful:
1. What is the difference between permutations and combinations?
2. How do you calculate combinations, like \( C(37, 17) \)?
3. How does factorial growth affect permutation calculations?
4. Can you give an example of a real-world scenario using permutations?
5. What is the relation between permutations and probability?

**Tip:** In permutations, the order of elements matters, unlike in combinations!

Evaluate the permutation P(37,17) equals (Use scientific notation. Use the multiplication symbol in the math palette as needed. Round to four decimal places as needed.)

Learn how to evaluate the permutation P(37, 17) using the formula P(n, r) = n! / (n - r)!. This problem involves calculating large factorials and expressing the result in scientific notation, rounded to four decimal places. Suitable for students in Grades 10-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation