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A month with 31 days has the same number of Mondays and Wednesdays. How many of the seven days of the week could be the first day of this month?a. 2b. 3c. 4d. 5e. 6

User Kiwiwings
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Answer: b. 3

Therefore, we will have the same number of Mondays and Wednesdays if the first day is either Monday, Thursday or Friday. Making 3 possible days

Explanation:

Given that there are 31 days in the month.

And there are equal number of Mondays and Wednesdays within a 7 day bracket.

30 - 4(7) = 3days

After four weeks we are left with three days.

So, if the first day is;

Monday - we will have 5 Mondays and Wednesdays each

Tuesday - we have more Wednesday

Wednesday - we will have more Wednesday

Thursday - we will have 4 Mondays and Wednesdays each

Friday - we will have 4 Mondays and Wednesdays each

Saturday - we will have more Monday

Sunday - we will have more Monday

Therefore, we will have the same number of Mondays and Wednesdays if the first day is either Monday, Thursday or Friday. Making 3 possible days

User Qi Luo
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