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January has the greatest possible number of Saturdays when January 1 occurs on any of the following days of the week except... I think it's Sunday.

 Jan 12, 2019
 #1
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Note that we have the following sequence 

 

1, 8, 15, 22, 29

 

When the first day is Thursday....the last Saturday is on the 31st

When the first day is Friday......the last Saturday is on 30th

When the first day is Saturday.....the last Saurday is on the 29th

 

In each case....there will be 5 Saturdays

 

But when the first day is on Sunday......the next Saturday will fall on the 7th

 

And we have the following sequence for Saturdays

 

7 14  21  28

 

So...only 4 Saturdays when the first day is Sunday...

 

cool cool  cool

 Jan 12, 2019

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