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Four students, Rahul, Mia, Mila, and Andres, line up one behind the other. How many different ways can they stand in line?Answer:
Full solution
Q. Four students, Rahul, Mia, Mila, and Andres, line up one behind the other. How many different ways can they stand in line?Answer:
- Identify : To determine the number of different ways the four students can stand in line, we need to calculate the number of permutations of the four individuals. A permutation is an arrangement of all members of a set into some sequence or order. Since there are no restrictions given, we can use the formula for permutations of distinct objects, which is ( factorial), where is the number of objects to arrange.
- Calculate : First, we identify the value of , which is the number of students. There are students: Rahul, Mia, Mila, and Andres. So, .
- Find factorial of n: Next, we calculate the factorial of , which is ( factorial). The factorial of a number is the product of all positive integers less than or equal to that number. Therefore, .
- Perform multiplication: Now, we perform the multiplication to find the value of . So, .
- Final result: The result of represents the total number of different ways the four students can stand in line.
