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2014 Math Kangaroo

Problem 1

Problem 1 · 2014 Math Kangaroo Easy
Counting & Probability careful-counting

The Kangaroo competition takes place each year on the third Thursday of March. Which is the earliest possible date for the competition?

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Answer: B — 15/3
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Hint 1 of 2
The third Thursday is as early as possible when the first Thursday of March is as early as possible.
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Hint 2 of 2
Make March 1 itself a Thursday and count out the Thursdays.
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Approach: put the first Thursday as early as it can be
  1. The earliest a 'third Thursday' can fall is when March 1 is already a Thursday.
  2. Then the Thursdays are the 1st, the 8th, and the 15th.
  3. The third Thursday is the 15th, so the earliest date is 15/3.
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