Mackenzie is planning a workout. She needs to choose one of the 3 cardio routines and one of the 2 resistance training routines. For the time of day, Mackenzie has 2 options that work with her schedule. Lastly, there are 3 outfits Mackenzie can wear. How many different workouts can Mackenzie plan?
workouts
Mackenzie can plan 12 different workouts.
To see why, we can use the multiplication principle.
First, there are 3 options for the cardio routine. For each of those options, there are 2 options for the resistance training routine. So there are a total of 3 x 2 = 6 options for the cardio and resistance training components.
Next, there are 2 options for the time of day. For each of those options, there are 6 possible combinations of cardio and resistance training. So there are a total of 2 x 6 = 12 options for the time of day and workout combination.
Finally, for each of those 12 options, there are 3 outfit choices. So overall, Mackenzie can plan 12 x 3 = 36 different workouts when considering outfit options.
To determine the number of different workouts Mackenzie can plan, we need to multiply the number of options for each decision together.
1. Number of options for cardio routines: 3 (since there are 3 options)
2. Number of options for resistance training routines: 2 (since there are 2 options)
3. Number of options for time of day: 2 (since there are 2 options)
4. Number of options for outfits: 3 (since there are 3 options)
To calculate the total number of different workouts Mackenzie can plan, we multiply the number of options for each decision:
Total number of different workouts = Number of options for cardio routines × Number of options for resistance training routines × Number of options for time of day × Number of options for outfits
Total number of different workouts = 3 × 2 × 2 × 3
Total number of different workouts = 36
Therefore, Mackenzie can plan 36 different workouts.