Final answer:
To find the different schedules where Lisa plays basketball on Tuesday, Wednesday, or on both days, we need to list out combinations where those days are included. After accounting for each scenario, there are a total of 10 different possible schedules.
Step-by-step explanation:
Lisa plays basketball on 3 out of the 5 weekdays, and we want to find how many possible schedules include playing basketball on Wednesday or Tuesday or both. We have five weekdays and we need to choose 3 days in total for her to play basketball.
Let's denote playing basketball with a 'B' and not playing with an 'N'. Since she must play either Tuesday or Wednesday or both, let's first look at the schedules including both days:
- BTBTB
- BTBBN
- BNTBB
- BBNTB
- BBBTN
- BBBNT
These represent the schedules where she plays on both Tuesday and Wednesday, combined with any of the other weekdays to meet the 3-day requirement.
If we now include the schedules where she plays only on Tuesday, we have:
And those for playing only on Wednesday:
We have a total of 10 different possible schedules where Lisa plays on Tuesday or Wednesday or both.