Question

Let the set B={0, 1, 2, 3, 4, 5, 6, 7}. Consider the following subnets of B:
B1 = {0, 1, 2, 3}, B2 = {0, 2, 4, 6, 8}, B3 = {0, 2, 4, 6}, B4 = {1, 3}, B5 = {5, 7}

Determine whether the following sets are particians of set B and justify your answers:

a. {B3, B5}

B. {B3, B4, B5}

Answer 1

Partitions?

Answer 2

yup

Answer 3

sorry, mistyping

Answer 4

Which one of those choices includes subsets that are non-overlapping, and also include the entirety of the set?

Answer 5

1 is not in B3 or B5

Answer 6

sorry for late replying..
Thanks for answering me
so, partitions means that it can represent itself, no redundant elements, and it has no less and more elements.

Answer 7

Hence, answer for (a) is not a partition and (b) is a partition.