The correct statement(s) from the given options are: option 3, which states that only statements 2 and 3 are correct.

Statement 1, which claims that Himalayan rivers have their origin in snow-covered areas and are dry in the winter season, is incorrect. Himalayan rivers are perennial rivers, which means they flow throughout the year, even during the winter season. The snow-covered areas contribute to the river`s water source, but they do not cause the rivers to dry up in winter.

Statement 2, which states that rivers of the Peninsular Plateau have reached maturity, is correct. The rivers of the Peninsular Plateau, such as the Godavari, Krishna, and Kaveri, have reached the stage of maturity in the normal cycle of erosion. This means that they have developed a dendritic drainage pattern and have carved out broad valleys.

Statement 3, which claims that Himalayan rivers depict all three stages of the normal cycle of erosion, is also correct. Himalayan rivers start in the youthful stage with steep gradients, then progress to the mature stage with meandering courses and wider valleys, and finally reach the old age stage with gentle gradients and floodplains.

In conclusion, option 3 (2 and 3