Question

7.4
score: 9/17 answered: 9/17
question 10
how many different photographs are possible if three children line up in a row?
question help: video ebook written example
submit question

Explanation:

Step1: Identify the problem type

This is a permutation problem where we need to find the number of ways to arrange 3 children in a row. The formula for permutations of \( n \) distinct objects is \( P(n, n)=\frac{n!}{(n - n)!}=n! \). Here, \( n = 3 \).

Step2: Calculate the factorial

The factorial of a number \( n \) (denoted as \( n! \)) is the product of all positive integers from 1 to \( n \). So, for \( n = 3 \), we have \( 3! = 3\times2\times1 \).
Calculating \( 3\times2\times1 \), we get \( 6 \).

Answer:

\( 6 \)