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A box contains red cards, blue cards, and green cards. What is the smallest number of cards we must remove from the box to make sure that we have cards of the same color?E. F. G. H.
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Q. A box contains red cards, blue cards, and green cards. What is the smallest number of cards we must remove from the box to make sure that we have cards of the same color?E. F. G. H.
- Consider Worst-Case Scenario: We start by considering the worst-case scenario where we pick the maximum number of cards without getting two of the same color. We can pick all the red cards, which are , and then we can pick all the blue cards, which are . So far, we have picked cards without getting two of the same color.
- Pick Additional Green Card: Now, if we pick one more card, it has to be green since we've already picked all the red and blue cards. This guarantees that we will have two green cards because there are green cards in total.
- Remove Cards for Same Color: So, the smallest number of cards we must remove to ensure we have two cards of the same color is the total number of red and blue cards we picked plus one more card, which is cards.
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