WBJEE · Maths · Functions
The number of onto functions from the set \(\{1,2, \ldots, 11\}\) to the set \(\{1,2, \ldots, 10\}\) is
- A \(5 \times 11 !\)
- B \(10 !\)
- C \(\frac{11 !}{2}\)
- D \(10 \times 11 !\)
Answer & Solution
Correct Answer
(D) \(10 \times 11 !\)
Step-by-step Solution
Detailed explanation
Let \(\quad A=\{1,2, \ldots, 11\}\) \(\begin{array}{ll}\therefore & n(A)=11 \text { and } B=\{1,2, \ldots, 10\} \\ \therefore & n(B)=10\end{array}\) \(\therefore \text{Hence number of onto function}\) \(=^{n(A)} C_{n(B)} \times n(B) ! \times n(B)\)…
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