In how many ways can 4 different flags be arranged on a pole? (2015)

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Question: In how many ways can 4 different flags be arranged on a pole? (2015)

Options:

Correct Answer: 24

Exam Year: 2015

Solution:

The number of arrangements of 4 distinct flags is 4! = 24.

In how many ways can 4 different flags be arranged on a pole? (2015)

In how many ways can 4 different flags be arranged on a pole? (2015)

Step 1: Understand that we have 4 different flags to arrange.
Step 2: Recognize that the order in which we arrange the flags matters.
Step 3: Use the factorial notation to calculate the number of arrangements. The factorial of a number n (written as n!) is the product of all positive integers up to n.
Step 4: For 4 flags, we calculate 4! (4 factorial). This means we multiply 4 × 3 × 2 × 1.
Step 5: Calculate the multiplication: 4 × 3 = 12, then 12 × 2 = 24, and finally 24 × 1 = 24.
Step 6: Conclude that there are 24 different ways to arrange the 4 flags on the pole.

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