There are 7 unique paintings to be displayed in a row in an art gallery. How many different arrangements of the paintings are possible?
Options
A
504
B
210
C
420
D
5,040
Answer & Analysis
Answer
D
Analysis
Question Analysis
This question is about calculating permutations of all distinct elements in a set, where repetition is not allowed.
The focus is on using the formula , with being the number of elements (paintings) in the set.
Key Concept Explanation
The formula (n factorial) gives the number of ways to order distinct objects. It is computed as .
In the context of arranging paintings, gives the total number of different possible orderings.
Step - by - Step Solution
Here,
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