1. There are many people in the park.

2. There are many peoples in the park.
(Is #2 right?)

3. How many people are there in your family?

4. How many members are there in your family?

5. How many are there in your family?

(Are the three sentences above all correct?)

6. Do you want some cheese?
Do you want a piece of cheese?
Do you want a slice of cheese?
(Are all grammatical?)

2. There are many peoples in the park.

That is a possibly correct sentence but it would mean that there were many different types of people in the park, such as Americans and Chinese and Solomon Islanders.

3. How many people are there in your family?

That is awkward but understandable. There is no need for the word "there" in the sentences.

4. How many members of the Society of Jumping Rabbits? How many members of what?

5. How many whats in your family? Horses?

6. Looks good to me.

1 and 2 can both be correct (as Damon explained about #2), but 1 is the more commonly used.

3, 4, and 5 are all correct, but (as Damon says) removing the word "there" would make them better. 5 is the best of the three.

6 - All three are correct.

1. The correct sentence is: "There are many people in the park." The word "people" is already plural, so there is no need for the plural form "peoples" in this context.

2. No, the sentence "There are many peoples in the park" is not correct. The word "peoples" refers to different ethnic or cultural groups, and it is not appropriate for describing individuals in a park.

3. Yes, the sentence "How many people are there in your family?" is correct. It is a common question to ask about the number of individuals in someone's family.

4. Yes, the sentence "How many members are there in your family?" is also correct. It implies that you are specifically asking about the number of people who are officially considered part of the family.

5. Yes, the sentence "How many are there in your family?" is grammatically correct. It is a more casual way of asking about the number of individuals in someone's family.

6. Yes, all three sentences are grammatically correct options to ask someone if they want cheese. They are different ways of expressing the same idea, allowing the person being asked to choose the preferred form of cheese they would like. Each sentence uses a different noun to describe the cheese - "some cheese," "a piece of cheese," or "a slice of cheese."