Subjects discrete mathematics

Day Of Week 72F104

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1. **Problem:** Given that today is Sunday and neither this year nor next is a leap year, what day of the week will be one year from today? 2. **Formula and rules:** The day of the week advances by the number of days in a year modulo 7 because a week has 7 days. 3. Since neither this year nor next is a leap year, the year has 365 days. 4. Calculate the remainder when 365 is divided by 7: $$365 \div 7 = 52 \text{ weeks and } 1 \text{ day remainder}$$ 5. This means the day of the week advances by 1 day after one year. 6. Today is Sunday, so one year from today will be: $$\text{Sunday} + 1 \text{ day} = \text{Monday}$$ **Final answer:** One year from today will be Monday.