Question

Find the value of each expression. $$ _{5} \mathrm{C}_{4} $$

   Find the value of each expression.
$$
_{5} \mathrm{C}_{4}
$$

Algebra 1 Common Core

Algebra 1 Common Core

Randall I.… 1st Edition

Chapter 12, Problem 28

Instant Answer

Solved by Expert Heather Zimmers

04/03/2020

Step 1

The formula is given by: $$ _{n}C_{r} = \frac{n!}{(n-r)!r!} $$ where $n$ is the total number of items, $r$ is the number of items to choose, and $!$ denotes factorial. Show more…

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Find the value of each expression. $$ _{5} \mathrm{C}_{4} $$

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Key Concepts

Combination

A combination is a selection of items from a larger set where the order does not matter. The number of combinations is used in counting problems to determine how many ways a subset of items can be chosen from a larger set.

Binomial Coefficient

The binomial coefficient, denoted as nCr or C(n, r), represents the number of combinations of n items taken r at a time. It is calculated using the formula n!/(r!(n-r)!), where 'n!' denotes the factorial of n.

Factorial

A factorial, denoted by an exclamation mark (n!), is the product of all positive integers up to n. It is a fundamental concept in combinatorics and is used in the computation of combinations and permutations.

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