Below are 10 people’s availabilities. You need to schedule a meeting that at least 7 of them can attend. April May Week 1 Week 2 Week 3 Week 4 Week 1 Week 2 Week 3 Week 4 Buey BUSI Busy Busy Busy Busy BUSY BUSY BUSY BUSY BUS Image not displaying? Which week(s) can you schedule the meeting? Select all that apply: April, Week 1 April, Week 2 April, Week 3 April, Week 4
The Correct Answer and Explanation is:
To determine which week(s) are suitable for scheduling the meeting, we must identify the weeks during which at least 7 out of 10 people are available (i.e., not marked “Busy”).
Let’s count how many people are not busy (available) in each week:
April
- Week 1: Busy – Person 1, 2, 6, 10 → 6 people busy → 4 available ✅ Not suitable
- Week 2: Busy – Person 1, 5, 6, 9, 10 → 5 people busy → 5 available ✅ Not suitable
- Week 3: Busy – Person 3, 7 → 2 people busy → 8 available ✅ Suitable
- Week 4: Busy – Person 4, 7, 10 → 3 people busy → 7 available ✅ Suitable
May
- Week 1: Busy – Person 2, 5, 6 → 3 people busy → 7 available ✅ Suitable
- Week 2: Busy – Person 1, 3, 6 → 3 people busy → 7 available ✅ Suitable
- Week 3: Busy – Person 2, 4, 5 → 3 people busy → 7 available ✅ Suitable
- Week 4: Busy – Person 1, 7, 10 → 3 people busy → 7 available ✅ Suitable
✅ Correct Answer:
- April, Week 3
- April, Week 4
- May, Week 1
- May, Week 2
- May, Week 3
- May, Week 4
Explanation
This scheduling task requires identifying which weeks allow for at least 7 out of 10 people to attend a meeting. By analyzing the calendar grid, we focus on the weeks with the fewest “Busy” labels, since those indicate unavailability.
Each row represents one person, and each column one week. For each week, we count the number of people who are marked “Busy.” If 3 or fewer people are busy, it means at least 7 are available—which meets the condition for scheduling the meeting.
Starting with April, Week 1 and Week 2 are ruled out because they have 6 and 5 people busy, respectively—leaving only 4 or 5 available. This doesn’t meet the minimum requirement of 7 attendees. However, April, Week 3 has only 2 people busy, and Week 4 has 3, so both weeks are suitable.
For May, all weeks from Week 1 through Week 4 have only 3 people busy each. That means 7 people are available every week in May. Thus, all May weeks are valid options for the meeting.
In conclusion, six weeks meet the attendance requirement: April Week 3 and 4, and all four weeks in May. These weeks ensure that the majority of the group—at least 70%—can attend the meeting, making them optimal choices for scheduling.
