Question

write down all the partitions of 8

Answer 1

Thanks for asking the question.
Partition in maths which is also known as integer partition is a way of writing any number say n as a sum of positive integers.
Partition of 8 are as follows:
1. 7 + 1
2. 6 + 2
3. 5 + 3
4. 4 + 4
So, the partitions of 8 are 1,2,3,4,5,6,7.
Hope it helps.

Answer 2

Answer:

There are 22 partitions of the number 8.

Step-by-step explanation:

To find : Write down all the partitions of 8 ?

Solution :

In number theory, a partition of a positive integer n is a way of writing n as a sum of positive integers.

Two sums that differ only in the order of their summands are considered the same partition.

Partition of 8 are

7+1

6+2

6+1+1

5+3

5+2+1

5+1+1+1

4+4

4+3+1

4+2+1+1

4+1+1+1+1

3+5

3+4+1

3+3+2

3+2+1+1+1

3+1+1+1+1+1

2+6

2+5+1

2+4+1+1

2+3+1+1+1

2+2+1+1+1+1

2+1+1+1+1+1+1

1+1+1+1+1+1+1+1

Therefore, There are 22 partitions of the number 8.