A team needs to select 3 players from a group of 8 players to form a starting lineup. The order in which the players are selected matters. How many different starting lineups are possible?
Options
A
24
B
56
C
336
D
6,720
Answer & Analysis
Answer
C
Analysis
Question Analysis
This question involves calculating permutations of selecting a subset of elements from a larger set where the order of selection matters.
The main focus is on using the formula .
Key Concept Explanation
The formula is used to find the number of ways to select and arrange objects out of distinct objects.
Here, is the total number of available objects (e.g., players in the group), and is the number of objects to be selected and arranged (e.g., players in the starting lineup).
Step - by - Step Solution
Here, (the total number of players) and (the number of players to be selected for the starting lineup).
First, calculate the factorial values:
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