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You have 30 friends that you want to invite to dinner. However, your dining room table only seats 6 people. Since you will take up

You have 30 friends that you want to invite to dinner. However, your dining room table only seats 6 people. Since you will take up one seat, you can only have five friends at one time. You figure out that if you have a dinner party every Saturday night for 6 weeks, you can have everyone over. Now you have to decide how to form your Saturday night groups. How many different groups of guests can you have?

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