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  • https://math.libretexts.org/Bookshelves/Algebra/College_Algebra_and_Trigonometry_(Beveridge)/07%3A_Combinatorics/7.03%3A_Permutations_and_Combinations
    For example, if we were choosing 3 people from a group of 7 to serve on a committee as president, vice-president and treasurer, the answer would be \(_{7} P_{3}=210\) But - if we wanted to choose 3 pe...For example, if we were choosing 3 people from a group of 7 to serve on a committee as president, vice-president and treasurer, the answer would be \(_{7} P_{3}=210\) But - if we wanted to choose 3 people from a group of 7 with no assigned roles, then some of the choices in the permutation would be the same.

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