1) in how many ways can 2 people each have different birthdays? Assume that there are 365 days in a year. 2) in how many ways can 5 people all have different birthdays?

Assume that there are 365 days in a year. 3) based on the previous questions what are the probability that no one shares the same birthday? ( hint use the complement) 4) . Repeat the previous calculation to find the probability that 23 people do not share the same birthday? The birthday problem. Perform the calculations and give me 450 words about the calculations describe what is occurring and be sure to include all steps taken and to include some statistical language about permutations and combinations.

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