Expert: Bobby Soltani - 9/17/2004

Question
Hi Bobby.
Here is the question.

A certain holiday is always on the fourth of Tuesday of month X. If month X has 30 days, on how many different dates of month X can the holiday fall?

Can you please show me how to solve this one?
Thanks.

kyra


Answer
Hi Kyra,

The first Tuesday can occur on the 1,2,3,4,5,6,7 of the month.  Note that it can't occur on the 8th because that would be the second Tuesday.  That means that the fourth Tuesday (21 days later) can occur on the 22,23,24,25,26,27,28 day of the month.  That would be seven different dates of month X the holiday can fall.

Bobby