Permutations And Combinations Question 370

Question: $ f:{1,2,3,4,5}\to {1,2,3,4,5} $ that are onto and $ f(i)\ne i, $ is equal to

Options:

A) 9

B) 44

C) 16

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

  • [b] Total number of required functions = Number of rearrangement of 5 objects $ =5!( \frac{1}{2!}-\frac{1}{3!}+\frac{1}{4!}-\frac{1}{5!} )=44 $