Explore BrainMass
Share

Partitions of a Set

This content was STOLEN from BrainMass.com - View the original, and get the already-completed solution here!

Prove that if a partition g is finer than a partition f, then any union of sets of f is a union of sets of g.

© BrainMass Inc. brainmass.com October 24, 2018, 9:16 pm ad1c9bdddf
https://brainmass.com/math/discrete-optimization/partitions-set-coarseness-fineness-122158

Solution Summary

Set partitions are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

$2.19
See Also This Related BrainMass Solution

Set Partitions and Bit Strings

Which of these collections of subsets are partitions on the set of bit strings of length 8?

a) The set of bit strings that end with 00; the set of bit strings that end with 01; the set of bit strings that end with 10; and the set of bit strings that end with 11.

b) The set of bit strings that end with 111; the set of bit strings that end with 011; and the set of bit strings that end with 00.

c) The set of bit strings that have 3k ones, where k is a non-negative integer; the set of bit strings that contain 3k+1 ones, where k is a non-negative integer; and the set of bit strings that contain 3k+2 ones, where k is a non-negative integer.

View Full Posting Details