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Standards/Math/Alabama/AFM.8

AFM.8

AFM Applications of Finite Mathematics
AFM.1
AFM.10
AFM.11
AFM.12
AFM.13
AFM.14
AFM.15
AFM.16
AFM.17
AFM.18
AFM.19
AFM.2
AFM.20
AFM.21
AFM.22
AFM.23
AFM.24
AFM.25
AFM.26
AFM.27
AFM.28
AFM.29
AFM.3
AFM.30
AFM.31
AFM.32
AFM.4
AFM.5
AFM.6
AFM.7
AFM.8
AFM.8.aAFM.8.bAFM.8.cAFM.8.d
AFM.9

Using application-based problems, develop formulas for permutations, combinations, and combinations with repetition and compare student-derived formulas to standard representations of the formulas.

AFM.8.aIdentify differences between applications of combinations and permutations.AFM.8.bUsing application-based problems, calculate the number of permutations of a set with n elements. Calculate the number of permutations of r elements taken from a set of n elements.AFM.8.cUsing application-based problems, calculate the number of subsets of size r that can be chosen from a set of n elements, explaining this number as the number of combinations “n choose r.”AFM.8.dUsing application-based problems, calculate the number of combinations with repetitions of r elements from a set of n elements as “(n + r – 1) choose r.”
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