Same Birthday Probability

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Two people are said to have the same birthday if they were born in the same month and on the same day of the month (the year of birth is not relevant). If there is are 40 people in a room, compute the probability that at least two people have the same birthday.

I calculated the probability as follows (40*39)/2 = 780. (364/365)^780 = 11.77%. This seems very low. Can someone please provide me with the correct equation or let me know if what I have is correct? Thanks so much.