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.

7 ft 6 in means 7 1/2, because 6 in is 1/2 of a foot. 7 ft 8 in means 7 2/3 because 8 in is 2/3 of a foot. 23/3 = 7 2/3. 15/2 = 7 1/2.

23/3   *   15/2   = 57 1/2

step-by-step explanation: