A bookshelf has 8 different books. In how many ways can 3 of these books be arranged on a different smaller shelf?
Options
A
24
B
336
C
56
D
6,720
Answer & Analysis
Answer
B
Analysis
Question Analysis
This question involves calculating the number of permutations of a subset of distinct objects.
The main focus is on applying the permutation formula to a book - arranging scenario.
Key Concept Explanation
The permutation formula is used to find the number of ways to select and arrange distinct objects out of distinct objects.
It takes into account the order of arrangement, which is crucial in permutation problems.
Step - by - Step Solution
Here, (the total number of different books on the large bookshelf) and (the number of books to be arranged on the smaller shelf).
Using the formula , we substitute the values:
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