Question
Four students, Nachelle Arianna, Juan, and Kadeesha line up one behind the other. How many different ways can they stand in line? Answer Attemptiout of 2 square
Solution
4.1
(228 Votes)
Aurora
Elite ยท Tutor for 8 years
Answer
### 24
Explanation
## Step 1: Calculate the number of permutations### There are four students, and each position in the line can be filled by any of the students. For the first position, there are 4 choices. Once the first position is filled, there are 3 remaining choices for the second position. Then, there are 2 choices for the third position, and finally, only 1 choice for the last position. The total number of different ways they can stand in line is the product of these choices. This is equivalent to calculating
.## Step 2: Calculate the factorial###