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.

square root of 36/6 = 2.449489743

square root of 16/6 = 1.632993162

square root of 6 = 2.449489743

the answer is square root of 16/6 because the square root of 36/6 is the same answer as square root of 6 = 2.449489743