Agent Nikita decrypted the cryptic message
and reached room number four hundred and twenty of Glitz Hotel. When she knocked on the door, the door slid open by itself. She tentatively entered the room. Once inside, she saw that the entire room had been ransacked and all of Agent Pathfinder's belongings were strewn about the place. However, there was no sign of a struggle. So, she hoped that Agent Pathfinder was alright. Now that all of Agent pathfinder's belongings were already on display, she decided to go through the stuff. She suddenly found a diary on the floor. While turning over a few pages, she noticed an odd post in the diary.
"Dear Diary, Today I attended my little cousin's birthday party. He's four years old now. I noticed something very funny during the party. During every celebration, we have a traditional dance where every individual present has to shake a leg. Before I arrived at the party, there were seventeen children and fourteen adults. Out of them, there were twelve males and nineteen females. After my arrival, the traditional dance began. I noticed that, now, thanks to my arrival, the number of possible boy-girl couples was equal to the number of possible man-woman couples. How cool was that!!!"
Agent Nikita chuckled at this. She stuffed the diary into her purse and left the room wondering whether Agent Pathfinder was a boy, girl, man or woman?
Based on the given information, help solve her confusion. Provide a detailed explanation along with your answer.
Hint: If there were 10 men and 10 women present at the party, 100 (10 x 10) man-woman couples would be possible.