How many ways can 5 different flags be arranged on a pole? (2019)

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Question: How many ways can 5 different flags be arranged on a pole? (2019)

Options:

Correct Answer: 120

Exam Year: 2019

Solution:

The number of arrangements of 5 different flags is 5! = 120.

How many ways can 5 different flags be arranged on a pole? (2019)

How many ways can 5 different flags be arranged on a pole? (2019)

Step 1: Understand that we have 5 different flags to arrange.
Step 2: Recognize that arranging these flags means we need to find all possible orders they can be placed in.
Step 3: Use the factorial notation, which is represented by 'n!'. This means multiplying all whole numbers from n down to 1.
Step 4: For 5 flags, we calculate 5! (5 factorial).
Step 5: Calculate 5! = 5 × 4 × 3 × 2 × 1.
Step 6: Perform the multiplication: 5 × 4 = 20, then 20 × 3 = 60, then 60 × 2 = 120, and finally 120 × 1 = 120.
Step 7: Conclude that there are 120 different ways to arrange the 5 flags on the pole.

Permutations – The arrangement of distinct objects in a specific order, calculated using factorial notation.