False

Explanation:
To determine if the number names of 2,00,567 and 200,567 are the same, we need to understand how to write these numbers in words.

Writing 2,00,567 in words:
When we write the number 2,00,567 in words, we start from the left and break it into groups of three digits. In this case, we have two groups - 2 (two) and 00,567 (thousand five hundred sixty-seven). Therefore, 2,00,567 can be written as "two lakh" (lakh is a term used in the Indian numbering system) "thousand five hundred sixty-seven."

Writing 200,567 in words:
When we write the number 200,567 in words, we again start from the left and break it into groups of three digits. In this case, we have two groups - 200 (two hundred) and 567 (five hundred sixty-seven). Therefore, 200,567 can be written as "two hundred thousand five hundred sixty-seven."

Comparison:
Now, let's compare the number names of 2,00,567 and 200,567:

- 2,00,567 is written as "two lakh thousand five hundred sixty-seven."
- 200,567 is written as "two hundred thousand five hundred sixty-seven."

As we can see, the number names of 2,00,567 and 200,567 are different. The former includes the term "lakh" while the latter includes the term "hundred thousand." Therefore, we can conclude that the number names of 2,00,567 and 200,567 are not the same.

Final Answer:
Therefore, the statement "The number names of 2,00,567 and 200,567 are the same" is false.

True because it is two lakhs zero thousand five hundred and seven and 2 one is also that only. only one different there was (cama=,)is not there.