Course Solutions Uncategorized (Solved) : 1 Let Set Nonempty Subsets Integer Numbers 1 K Including 1 K K 1 Let R Binary Relation Def Q26219846 . . . .

(Solved) : 1 Let Set Nonempty Subsets Integer Numbers 1 K Including 1 K K 1 Let R Binary Relation Def Q26219846 . . . .

 

1. Let A be the set of all (nonempty) subsets of integer numbers between 1 and K (including 1 and K), K>1. Let R be a binary relation on A defined as follows: ARAj 뷰 sum(Ai)= sum(Aj) where A, and Aj are elements of A, and sum(Ai) denotes the sum of all elements of Ai, so, for example, 3,7} and 1,2,3,4] are in relation R because 3+7-1+2+3+4. Observe that FR is an equivalence relation on A. (a) What is the number of equivalence classes of R (as a function of K)? Explain why. (b) Assume K 10. List all subsets in the equivalence class which contains 10 (c) How many equivalence classes contain just one element? What are these classes? Explairn why.

1.

OR

PayPal Gateway not configured

OR

PayPal Gateway not configured

Leave a Reply

Your email address will not be published. Required fields are marked *

Related Post