Question

Evaluate each expression. $$\frac{6 !}{5 ! 1 !}$$

   Evaluate each expression.
$$\frac{6 !}{5 ! 1 !}$$

Algebra for College Students

Algebra for College Students

Mark Dugopolski 5th Edition

Chapter 13, Problem 8

Instant Answer

Solved by Expert Heather Zimmers

04/11/2020

Step 1

We have: $$\frac{6 !}{5 ! 1 !} = \frac{6 \times 5 \times 4 \times 3 \times 2 \times 1}{(5 \times 4 \times 3 \times 2 \times 1) \times 1}$$ Show more…

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Evaluate each expression. $$\frac{6 !}{5 ! 1 !}$$

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Key Concepts

Factorial

The factorial of a number, denoted by n!, is the product of all positive integers from 1 up to n. It is a fundamental concept in mathematics, especially in combinatorics, where it helps determine the number of possible arrangements or selections.

Binomial Coefficient

A binomial coefficient, often written as 'n choose k' and calculated as n!/(k!(n-k)!), represents the number of ways to select k items from a set of n distinct items. This concept connects factorials with combinatorial counting and is widely used in probability, statistics, and the binomial theorem.

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