Math Problem Statement
In how many ways can a photographer at a wedding arrange 6 people in a row from agroupof10people, where the bride and the groom are among these 10 people, if a) the bride must be in the picture? b) both the bride and groom must be in the picture? c) exactly one of the bride and the groom is in the picture?
Solution
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Math Problem Analysis
Mathematical Concepts
Combinatorics
Permutations
Combinations
Formulas
Number of ways to choose r people from n = C(n, r) = n! / (r!(n-r)!)
Number of ways to arrange n people = n!
Theorems
Basic principles of combinations and permutations
Suitable Grade Level
Grades 11-12 (Advanced High School or Early College)
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