Month-Date Scheduling
Month-Date Scheduling problems involve arranging events or persons across specific months and dates (e.g., 5th and 15th of each month). Constraints include same-month requirements, fixed months, and position gaps.
What You'll Learn
Introduction to Month-Date Scheduling
Month-Date Scheduling problems involve arranging events or persons across specific months and dates (e.g., 5th and 15th of each month). Constraints include same-month requirements, fixed months, and position gaps.
Prerequisites
How to Solve Month-Date Scheduling Problems
Step 1: Create a grid with months as rows and dates as columns (e.g., Jan 5, Jan 15, Mar 5, Mar 15, etc.)
Step 2: Place fixed assignments (e.g., 'X attends in March')
Step 3: Apply same-month constraints (e.g., 'X and Y attend in same month')
Step 4: Apply gap constraints (e.g., 'Two people between X and Y')
Step 5: Use elimination to determine positions
Step 6: Answer which month or date for a given person
Example Problem
Example: 8 people attend seminars in Jan, Mar, May, Jul on 5th and 15th. Two per month. A attends in March. B attends on 15th. Two people between C and D. E and F in same month. In which month does C attend? Solution: Step 1: Slots: Jan5, Jan15, Mar5, Mar15, May5, May15, Jul5, Jul15 Step 2: A in March → Mar5 or Mar15 Step 3: B on 15th → could be Jan15, Mar15, May15, Jul15 Step 4: Two between C and D → positions differ by 3 Step 5: E and F same month → both Jan, Mar, May, or Jul Step 6: Systematic placement yields C in May Answer: May
Pro Tips & Tricks
- Label positions: 1=Jan5, 2=Jan15, 3=Mar5, 4=Mar15, 5=May5, 6=May15, 7=Jul5, 8=Jul15
- Same month = consecutive positions (1-2, 3-4, 5-6, 7-8)
- 'Two people between' means positions differ by 3
- Fixed month means position is in that month's range
- Fixed date (5th or 15th) means position is odd or even in month pairs
- Use elimination table to track possible positions for each person
Shortcut Methods to Solve Faster
Common Mistakes to Avoid
Practice Worksheets
Practice makes perfect! Work through these worksheets to master Month-Date Scheduling. Each worksheet contains 20 questions with detailed explanations. Start from Worksheet 1 and progress through increasing difficulty levels.
Exam Importance
Month-Date Scheduling is an important topic for various competitive exams. Here's how frequently it appears:
Ready to Master Month-Date Scheduling?
Start with Worksheet 1 and work your way up to expert level! Each worksheet includes: