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Three students, Camila, Josiah, and Kennedy, line up one behind the other. How many different ways can they stand in line? Answer:

Three students, Camila, Josiah, and Kennedy, line up one behind the other. How many different ways can they stand in line?\newlineAnswer:

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Full solution

Q. Three students, Camila, Josiah, and Kennedy, line up one behind the other. How many different ways can they stand in line?\newlineAnswer:
  1. Identify the Problem: Identify the problem.\newlineWe need to find the number of different ways three students can stand in line. This is a permutation problem where order matters.
  2. Determine Permutations: Determine the number of permutations.\newlineFor the first position in line, there are 33 choices (Camila, Josiah, or Kennedy). Once the first person is chosen, there are 22 remaining choices for the second position. Finally, there is only 11 choice left for the third position.
  3. Calculate Permutations: Calculate the number of permutations.\newlineThe number of different ways they can stand in line is 33 (choices for the first position) ×\times 22 (choices for the second position) ×\times 11 (choice for the third position).\newline3×2×1=63 \times 2 \times 1 = 6

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