With reference to river Teesta, consider the following statements:

1. The source of river Teesta is the same as that of Brahmaputra but it flows through Sikkim.

2. River Rangeet originates in Sikkim and it is a tributary of river Teesta.

3. River Teesta flows into Bay of Bengal on the border of India and Bangladesh.

Which of the statements given above is/are correct?

I.A.S. (Pre) 2017