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2019 Math Kangaroo

Problem 5

Problem 5 · 2019 Math Kangaroo Easy
Counting & Probability careful-counting

Jörg is sorting his socks. Two socks with the same number make one pair. How many pairs can he find?

Figure for Math Kangaroo 2019 Problem 5
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Answer: C — 5
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Hint 1 of 2
A pair needs two socks showing the same number.
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Hint 2 of 2
Tally how many socks show each number, then count how many numbers appear twice.
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Approach: tally each number and count those that appear twice
  1. List the number on every sock and see which numbers show up two times.
  2. The numbers 1, 2, 3, 5 and 7 each appear on two socks, while 6 and 8 appear only once.
  3. That makes 5 matching pairs.
  4. So the answer is C.
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