0 votes 0 votes How many partial functions are there from a set with m elements to a set with n elements, where m and n are positive integers? Nirmal Gaur asked Apr 11, 2017 Nirmal Gaur 402 views answer comment Share Follow See 1 comment See all 1 1 comment reply Nirmal Gaur commented Apr 11, 2017 reply Follow Share According to me the answer should be $n^{^{m}}$ but according to the book it is $(n+1)^{^{m}}$... 0 votes 0 votes Please log in or register to add a comment.
2 votes 2 votes Look Difference between partial function and Total function is that if total function every element of set A has image in Set B but in partial there may be element who done not have image in B, So one possibility increases which is no function at all. i.e. (n+1)m Prashant. answered Apr 11, 2017 Prashant. comment Share Follow See all 2 Comments See all 2 2 Comments reply Nirmal Gaur commented Apr 11, 2017 reply Follow Share but we have maximum n elements in set B and if an element of set A is not related to set B the answer should be $n^{^{(m-1)}}$ ...just saying :) ... 0 votes 0 votes Prashant. commented Apr 11, 2017 reply Follow Share nah, you create one more choice to every element to take it or not . with phi also . 1 votes 1 votes Please log in or register to add a comment.