College Math Placement Practice Test 2026 - Free College Math Questions and Study Guide

Question: 1 / 400

What is the value of 9! / 7!?

72

To find the value of \( \frac{9!}{7!} \), it helps to understand how factorials work. The factorial of a number \( n \), denoted as \( n! \), is the product of all positive integers from \( 1 \) to \( n \).

First, it is useful to expand the factorials involved:

- \( 9! = 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 \)

- \( 7! = 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 \)

When we divide \( 9! \) by \( 7! \), many terms cancel out:

\[

\frac{9!}{7!} = \frac{9 \times 8 \times 7!}{7!}

\]

The \( 7! \) in the numerator and denominator cancel, leaving us with:

\[

9 \times 8

\]

Now, we perform the multiplication:

\[

9 \times 8 = 72

\]

Therefore

Get further explanation with Examzify DeepDiveBeta

90

5040

504

Next Question

Report this question

Download College Math Placement Practice Test PDF Study Guide
Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy