In a group of 17 students, there are 3 freshman. How many different ways can 3...

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In a group of 17 students, there are 3 freshman. How many different ways can 3...

In a group of 17 students, there are 3 freshman. How many different ways can 3 students be chosen from the group if at least one of them must be a freshman?

math Statistics-And-Probability

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Answer 1

Answer #1

Number of groups with at least one freshman

= Total number of groups - Number of groups with no freshman

= ¹⁷C₃ - ¹⁴C₃

= 316

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Answer 2

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