Question: In how many ways can 5 different flags be arranged on a pole?
Options:
120
60
30
24
Correct Answer: 120
Solution:
The number of arrangements of 5 different flags is 5! = 120.
In how many ways can 5 different flags be arranged on a pole?
Practice Questions
Q1
In how many ways can 5 different flags be arranged on a pole?
120
60
30
24
Questions & Step-by-Step Solutions
In how many ways can 5 different flags be arranged on a pole?
Correct Answer: 120
Step 1: Understand that we have 5 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!) means multiplying that number by all the whole numbers less than it down to 1.
Step 4: For 5 flags, we calculate 5! (5 factorial). This means: 5 × 4 × 3 × 2 × 1.
Step 5: Perform the multiplication: 5 × 4 = 20, then 20 × 3 = 60, then 60 × 2 = 120, and finally 120 × 1 = 120.
Step 6: 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.
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