Question

How many different ways are there to write 6 as the sum of some natural numbers?

a. 1
b. 2
c. 3
d. 4

Answer 1

There are eleven different ways to write the number 6 as the sum of natural numbers, considering unique combinations that add up to 6.

Step-by-step explanation:

The question asks about the number of different ways to write the number 6 as the sum of natural numbers. This is a partitioning problem in mathematics. Since the order in which the numbers are added does not matter, we need to find all the unique combinations that add up to 6.

The possible partitions for the number 6 are:

• 6
• 5 + 1
• 4 + 2
• 4 + 1 + 1
• 3 + 3
• 3 + 2 + 1
• 3 + 1 + 1 + 1
• 2 + 2 + 2
• 2 + 2 + 1 + 1
• 2 + 1 + 1 + 1 + 1
• 1 + 1 + 1 + 1 + 1 + 1

Therefore, there are eleven different ways to write the number 6 as the sum of natural numbers.