The value of nCₙ can be also written as:

• A. n
• B. 0
• C. 1
• D. n!

The expression nCₙ represents the number of ways to choose n items from a set of n items. This is a specific case in combinatorics.

Understanding nCₙ

When you choose all items from a set, there is only one way to do it. Thus, the value of nCₙ is:

Options Explained

• A. n - This is incorrect because it suggests there are n ways to choose n items.
• B. 0 - This is incorrect as it implies no ways to choose, which is not true.
• C. 1 - This is correct since there is exactly one way to select all items.
• D. n! - This is incorrect because n! represents the total arrangements of n items, not selections.

Final Answer

The correct answer is C. 1.