bueok seorabe karirang domaga eobseoyo.

Because 부엌 서랍 is a noun phrase meaning kitchen drawer.

Here, 부엌 is acting like a modifier in front of 서랍:

• 부엌 = kitchen
• 서랍 = drawer
• 부엌 서랍 = kitchen drawer

So 부엌 is not standing alone as a separate noun with its own particle here. It is just describing what kind of drawer it is.

에 marks a location.

With 있다 / 없다, 에 often shows the place where something exists or does not exist.

So:

• 서랍에 = in the drawer
• 부엌 서랍에 = in the kitchen drawer

In this sentence, 에 tells you where the knife and cutting board are missing from.

Because with 있다 and 없다, Korean usually marks the thing that exists or does not exist with 이/가, not 을/를.

So:

• 칼이랑 도마가 없어요 = a knife and a cutting board are not there / there is no knife and cutting board

Even though English may translate this with have sometimes, Korean is structurally treating 칼이랑 도마 as the things whose existence is being discussed.

Here, 이랑 means and.

So:

• 칼이랑 도마 = knife and cutting board

A few useful notes:

• 이랑 comes after a noun ending in a consonant
• 랑 comes after a noun ending in a vowel

Examples:

• 칼이랑
• 사과랑

This form is common in everyday speech and sounds conversational.

Because 칼이랑 도마 works as one combined noun phrase, and the subject particle 가 is attached once at the end of the whole phrase.

So the structure is:

• 칼이랑 도마 = knife and cutting board
• 칼이랑 도마가 = knife and cutting board + subject marker

This is similar to how English marks the whole phrase once:

• the knife and cutting board are...

You do not need to put 가 after both nouns.

없어요 is the polite present form of 없다, which means:

• to not exist
• to not be there
• to not have

In this sentence, because a location is given, 없어요 means something like:

• are not there
• there aren’t any

So 부엌 서랍에 칼이랑 도마가 없어요 literally means:

• In the kitchen drawer, a knife and cutting board do not exist.

Natural English would be:

• There’s no knife or cutting board in the kitchen drawer.
• The kitchen drawer doesn’t have a knife and cutting board in it.

It can mean either, depending on context.

Korean 있다 / 없다 often covers both ideas:

• existence: there is / there isn’t
• possession: have / don’t have

In this sentence, because 부엌 서랍에 gives a location, the meaning is more like there isn’t / there aren’t.

So the sentence is about what is or is not in the drawer, not mainly about someone’s personal possession.

Korean often does not mark plurals unless it is necessary.

So:

• 칼 can mean knife or knives, depending on context
• 도마 can mean cutting board or cutting boards

Here, the sentence simply names the items, and Korean does not need extra plural marking. The fact that there are two different nouns already makes the meaning clear.

No. You could also use other connectors, such as:

• 칼하고 도마가 없어요
• 칼과 도마가 없어요
• 칼와 도마가 없어요 → incorrect
• 칼과 도마가 없어요 / 칼과 도마는 없어요 → more formal/literary
• 칼하고 도마가 없어요 → casual and common

A quick comparison:

• 이랑/랑 = casual, spoken
• 하고 = also common and conversational
• 과/와 = more formal or written

So 이랑 is very natural in everyday speech.

Yes, and it changes the nuance a little.

• 칼이랑 도마가 없어요 = there is no knife and cutting board / the knife and cutting board aren’t there
• 칼도 도마도 없어요 = there is neither a knife nor a cutting board

The 도 ... 도 pattern emphasizes that both are missing.

So if you want a stronger neither A nor B feeling, 칼도 도마도 없어요 is a great choice.

Yes. Korean word order is flexible as long as the particles make the roles clear.

For example, these are both natural:

• 부엌 서랍에 칼이랑 도마가 없어요.
• 칼이랑 도마가 부엌 서랍에 없어요.

The first version sounds a bit more like:

• As for the kitchen drawer, there’s no knife and cutting board there.

The second version focuses a bit earlier on the missing items:

• The knife and cutting board are not in the kitchen drawer.

Both are correct.

없어요 is polite and neutral, so it is very commonly used in everyday conversation.

Related forms:

• 없어 = casual, plain speech
• 없어요 = polite
• 없습니다 = formal

So this sentence is appropriate in normal polite conversation:

• 부엌 서랍에 칼이랑 도마가 없어요.

Yes, slightly.

Adding 는 to make 에는 gives the location a topic/contrast feeling.

• 부엌 서랍에 칼이랑 도마가 없어요.
  = There is no knife and cutting board in the kitchen drawer.

• 부엌 서랍에는 칼이랑 도마가 없어요.
  = In the kitchen drawer, there is no knife and cutting board.
  This can suggest contrast, such as maybe they are somewhere else.

So 에는 can sound like:

• not in the kitchen drawer, at least

This is a very common nuance with 은/는.