How many ways can 6 different flags be arranged on a pole? (2023)

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Question: How many ways can 6 different flags be arranged on a pole? (2023)

Options:

Correct Answer: 720

Exam Year: 2023

Solution:

The number of arrangements of 6 different flags is 6! = 720.

How many ways can 6 different flags be arranged on a pole? (2023)

How many ways can 6 different flags be arranged on a pole? (2023)

Step 1: Understand that we have 6 different flags to arrange.
Step 2: Recognize that arranging these flags is a permutation problem, where the order matters.
Step 3: The formula for the number of arrangements (permutations) of 'n' different items is 'n!'.
Step 4: In this case, 'n' is 6 because we have 6 flags.
Step 5: Calculate 6! (6 factorial), which means 6 × 5 × 4 × 3 × 2 × 1.
Step 6: Perform the multiplication: 6 × 5 = 30, then 30 × 4 = 120, then 120 × 3 = 360, then 360 × 2 = 720, and finally 720 × 1 = 720.
Step 7: Conclude that there are 720 different ways to arrange the 6 flags on the pole.

Permutations – The question tests the understanding of permutations, specifically how to arrange a set of distinct items.