Let s = {1, 2, ). how many partitions of s are there consisting of exactly two blocks, where one of the blocks has 3 elements and the other block has 5 elements? answer. 112 hint:

The total number of partitions is 56.

Step-by-step explanation:

Given : Let S = {1, 2, ...,8).

To find : How many partitions of S are there consisting of exactly two blocks, where one of the blocks has 3 elements and the other block has 5 elements?

Solution :

Set S = {1, 2, ...,8)

According to question,

The first partition consists of 3 elements.

Which means 3 elements can be chosen out of 8 in ways.

i.e.

The remaining 5 elements will automatically fall into the second partition.

Therefore, the total number of partitions is 56.

you forgot an image

step-by-step explanation:

so, converting firstly the mixed fractions to improper fractions and then "adding".