Question

EValuate each expression $$\frac{15 !}{9 !(15-9) !}$$

   EValuate each expression
$$\frac{15 !}{9 !(15-9) !}$$

College Algebra

College Algebra

R. David Gustafson,… 11th Edition

Chapter 8, Problem 20

Instant Answer

Solved by Expert Amy Jiang

07/06/2020

Step 1

We can do this by subtracting 9 from 15 in the denominator of the fraction: $$\frac{15 !}{9 !(15-9) !} = \frac{15 !}{9 !6 !}$$ Show more…

Show all steps

lock

Thanks for your feedback!

EValuate each expression $$\frac{15 !}{9 !(15-9) !}$$

Play audio

Feedback

Powered by NumerAI

Amy Jiang and 81 other subject Algebra educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Factorial

A factorial, denoted by an exclamation mark after a number (n!), is the product of all positive integers less than or equal to that number. It is a fundamental concept in combinatorics and is used to count the number of ways to arrange a set of objects.

Binomial Coefficient

The binomial coefficient, represented by the notation n choose k or C(n, k), is a calculation that determines the number of ways to choose k items from a set of n distinct items without considering the order. It is given by the formula n!/(k!(n-k)!) and plays a key role in combinatorial mathematics.

Recommended Videos

Transcript

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later