There are 15 books on a shelf. A student wants to choose 6 books, but 3 particular books must be included in the selection. How many ways can the student make the selection?
Options
A
330
B
495
C
220
D
792
Answer & Analysis
Answer
C
Analysis
Question Analysis
This question involves a combination problem with a specific inclusion condition.
The main focus is on adjusting the values of and based on the given condition and then using the combination formula to find the number of possible selections.
Key Concept Explanation
Since 3 particular books are already fixed to be in the selection, we only need to choose the remaining number of books from the remaining total number of books.
The combination formula is still applicable for this adjusted situation.
Step - by - Step Solution
Since 3 books are already included, we need to choose more books from the remaining books.
So, and .
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