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Question
leanne works at a restaurant. for dinner, there is a choice of 3 main dishes and 2 sides. main dish: burger (b), chicken (c), pasta (p) sides: apple (a), fries (f) leanne lists all possible ways a person could order their dinner. she lists these combinations: ba, bf, ca, cf, pa, pf, ab, fb, ac, fc, ap, fp. is leanne correct? use the drop - down menus to explain your reasoning. click the arrows to choose an answer from each menu. for each main dish, there are choose... different sides a person can choose. so, there are a total of choose... possible ways a person could choose their dinner. leanne is choose...
Step1: Determine sides per main dish
There are 2 sides (Apple, Fries). So for each main dish, 2 sides.
Step2: Calculate total combinations
3 main dishes × 2 sides = 6 total combinations.
Step3: Analyze Leanne's list
Leanne listed 12 combinations, which is double (she included reverse orders like BA and AB, but a dinner is a main + side, not side + main). So correct total is 6, Leanne is incorrect.
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For each main dish, there are $\boldsymbol{2}$ different sides. So, there are a total of $\boldsymbol{6}$ possible ways. Leanne is $\boldsymbol{\text{incorrect}}$.