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## Main Question or Discussion Point

I have started a course on probability and the lecturer, after explaining how to work out the classic problem of the likelihood that at least 2 people share a birthday out of a field of N people (which I understood fine), issued the challenge of working out what the probability of at most 3 people sharing a birthday (out of N people) is. I have had a think about this and am at a loss at how to work this out. Can anyone offer any advice about how to tackle this problem?

Thanks,

Talisker

Thanks,

Talisker