Q. 325.0( 1 Vote )

One mapping is selected at random from all the mappings of the set A = {1, 2, 3, ….., n) into itself. The probability that the mapping selected is one to one is
A.

B.

C.

D. none of these

Answer :

We know that the no of mapping from a set A to same set containing n elements = nn


As each element have n options to be mapped with n elements.


For mapping selected to be one to one, for first element we have n options ,for second we have n-1 options an so on…


total such mappings = n × (n-1)× (n-2)× … = n!


P(mapping is one to one) =


Our answer matches with option (c)


Option (c) is the only correct choice

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses