MySQL Select ID's which occur on different rows with multiple specific values for a column

Question

I'm trying to select items from an associative table that have satisfy two or more values of the same field, sounds confusing, let me explain.

+-----------------------+
| item_id | category_id |
+-----------------------+
|   1     |    200      |
|   1     |    201      |
|   1     |    202      |
|   2     |    201      |
|   2     |    202      |
|   3     |    202      |
|   3     |    203      |
|   4     |    201      |
|   4     |    207      |
+-----------------------+

In the table, I want to be able to select only items which are in the categories that I pass. So for example, if I pass category IDs of 201 and 202, I would want only items that are in BOTH categories (they can have other categories but need to be in at least the categories I'm querying), so in this case, I would want items 1 and 2 only since they are the only ones that are in categories 201 and 202.

My initial SQL statement was something like

SELECT * FROM item_category WHERE category_id = 201 AND category_id = 202;

But obviously that won't work.

SELECT * FROM item_category WHERE category_id = 201 OR category_id = 202;

The above query also won't work because it'll return items 4 and 3 as well.

So how would I go about only selecting items that have to at least be in both categories?

Keep in mind that I might be passing more than 2 category IDs.

Thank you for your help.