Let $f:\left\{ 1,\ 2,\ 3,\ 4,\ 5 ight\} ightarrow \{ 1,\ 2,\ 3,\ 4,\ 4,\ 5\}$ that are onto and $f(x)
eq i$ is equal to

Question

Let $f:\left\{ 1,\ 2,\ 3,\ 4,\ 5 ight\} ightarrow \{ 1,\ 2,\ 3,\ 4,\ 4,\ 5\}$ that are onto and $f(x) 
eq i$ is equal to

Dr. Abubacker · Accepted Answer

(b)
Total number of functions
=Number of dearrangement of 5 objects
$= 5!\left( \frac{1}{2!} - \frac{1}{3!} + \frac{1}{4!} - \frac{1}{5!} \right) = 44$

Q. Let $f:\left\{ 1,\ 2,\ 3,\ 4,\ 5 \right\} \rightarrow \{ 1,\ 2,\ 3,\ 4,\ 4,\ 5\}$ that are onto and $f(x) \neq i$ is equal to

Explanation

Reviewed by Dr. Abubacker

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