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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

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

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

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AuroraElite · Tutor for 8 years

Answer

### 24

Explain

## Step 1: Calculate the number of permutations<br />### 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 $4!$.<br />## Step 2: Calculate the factorial<br />### $4! = 4 \times 3 \times 2 \times 1 = 24$
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