Malala Yousufzai spoke to the Queen about the importance of education when they met at Buckingham Palace.
The teenager, accompanied by her father Ziauddin, gave the Queen a copy of her book, I Am Malala, during their meeting in the palace's White Drawing Room, telling her: "It is a great honour for me to be here, and I wanted to present you with this book."
Accepting the gift, the Queen replied: "That's very kind of you," before chatting with the teenager for a few moments.
She was reduced to laughter by a comment from the Duke, who quipped that in this country, people want children to go to school to get them out of the house. Malala covered her face while in a fit of giggles at his joke.
More top news
Author Stephen Fry has said he regrets his 'pathetic' 15-year addiction to cocaine after writing about it in his new autobiography.
The ex-mother-in-law of a suspect sought over the murder of West London teenager Alice Gross has spoken to ITV News.
How is Sainsbury's positioned to tackle the challenges of low-cost rivals and changing shopping habits?