There are 5 athletes in a race. In how many different ways can they finish the race (assuming no ties)?
Options
A
20
B
24
C
60
D
120
Answer & Analysis
Answer
D
Analysis
Question Analysis
This question involves calculating permutations where repetition is not allowed, specifically the number of ways to order all the elements in a set.
The main focus is on using the formula , where is the number of elements in the set.
Key Concept Explanation
The formula (n factorial) gives the number of permutations of distinct objects. It is calculated as .
In the context of a race with athletes, gives the total number of different possible finishing orders.
Step - by - Step Solution
Here,
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