All the statements are correct.

Being employed in a Royal Household of the Vijayanagar empire implies that women served a variety of roles and were crucial to the workings of the palace.

It was during the zenith of the Vijayanagar empire that female artists were encouraged to contribute to literature. Krishnadevaraya, besides having dominion over peninsular India, patronised female writers and poets.

According to Portuguese writer Ferno Nuniz, the women in the Vijayanagara Empire were experts in various fields, including :

• Wrestling (skilled in martial arts)
• Astrology (predicted celestial events)
• Accounting (managed financial records)
• Soothsaying (foretold the future based on signs and omens)

So the correct answer is 1, 2, 3 and 4.