Question

Find the number. $$(15,5)$$

Name: Problem 5, Chapter 9: Precalculus: Functions and Graphs
Uploaded: 2021-05-17T16:16:45-08:00
Duration: 1 min 32 s
Channel: Christopher Stanley
Description: Find the number. (15,5)

   Find the number.
$$(15,5)$$

Precalculus: Functions and Graphs

Earl W. Swokowski,… 12th Edition

Chapter 9, Problem 5

Instant Answer

Solved by Expert Christopher Stanley

05/17/2021

Step 1

In mathematics, a combination is a selection of items without considering the order. It is represented as $nCr$ or $n \choose r$ where $n$ is the total number of items and $r$ is the number of items to select. Show more…

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Find the number. $$(15,5)$$

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Key Concepts

Binomial Coefficient

The binomial coefficient, often denoted as C(n, k) or (n, k), represents the number of ways to select k elements from a set of n distinct elements where the order does not matter. It is a key concept in combinatorics and appears in the binomial theorem, which relates to the expansion of powers of binomials.

Factorial

Factorial notation, written as n!, is central to the calculation of binomial coefficients. It is defined as the product of all positive integers from 1 to n, and it is used in the formula for combinations to account for the total number of arrangements before considering the restrictions imposed by the order-insensitive selection.

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