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SEAMO 2027 - Paper C - SET 09 - Self-study Question 9

SEAMO · SEAMO 2027 - Paper C - SET 09 - Self-study

Question 9

At a party, each guest draws 2 balls from a bag containing many balls in five colours: red, yellow, white, blue and green. The host knows that at least two guests must have drawn the same colour combination. What is the minimum number of guests that guarantees this?

Colour combinations are unordered, and drawing two balls of the same colour is allowed.
  1. 12
  2. 13
  3. 14
  4. 15
  5. 16