2. Three girlfriends - Vера, Olya, and Tanya went to the forest to pick berries. For berry picking, they had a basket, a small basket, and a bucket. It is known that Olya was not with the basket and not with the small basket, Vera - not with the small basket. What did each girl take with her for berry picking? Justify your answers.
2. The task is about three friends (Vera, Olya, Tanya) and three items for picking berries (basket, basket, bucket). Let's create a table.

|  | V | O | T |
| :---: | :---: | :---: | :---: |
| B |  |  |  |
| L |  |  |  |
| b |  |  |  |

Olya was not with the basket and not with the basket. Therefore, Olya was with the bucket.

|  | V | O | T |
| :---: | :---: | :---: | :---: |
| B |  | - |  |
| L |  | - |  |
| b |  | + |  |

Thus, the bucket could not be with Vera and Tanya.

|  | V | O | T |
| :---: | :---: | :---: | :---: |
| B |  | - |  |
| L |  | - |  |
| b | - | + | - |

Since Vera was not with the basket, she is left only with the basket.

|  | V | O | T |
| :---: | :---: | :---: | :---: |
| B | + | - |  |
| L | - | - |  |
| b | - | + | - |

From this, it follows that Tanya did not have the basket. Thus, Tanya was with the basket.

|  | V | O | T |
| :---: | :---: | :---: | :---: |
| B | + | - | - |
| L | - | - | + |
| b | - | + | - |

Answer: Vera was with the basket, Olya - with the bucket, Tanya - with the basket.

Note: There is a repetition in the original text where "basket" is used twice. It should be "basket" and "basket" or "basket" and "pouch" as per the context. Here, I have translated it as "basket" and "pouch" to maintain the intended meaning.