KCET · Maths · Functions
\( \mathrm{A} \) is a set having \( 6 \) distinct elements. The number of distinct functions from \( \mathrm{A} \) to \( \mathrm{A} \) which are
notbijections is
- A \( 6 !-6 \)
- B \( 6^{6}-6 \)
- C \( 6^{6}-6 ! \)
- D 6!
Answer & Solution
Correct Answer
(C) \( 6^{6}-6 ! \)
Step-by-step Solution
Detailed explanation
Number of distinct elements are \( 6 \)
So, number of distinct functions \( (A \rightarrow A) \) which are not bijections is
Total \( - \) Bijections \( =6^{6}-6 ! \)
So, number of distinct functions \( (A \rightarrow A) \) which are not bijections is
Total \( - \) Bijections \( =6^{6}-6 ! \)
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