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Use pigeonhole principle to prove the following (need to identify pigeons/objects and pigeonholes/boxes): a. How many cards...

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Advance Math

Use pigeonhole principle to prove the following (need toidentify pigeons/objects and pigeonholes/boxes):

a. How many cards must be drawn from a standard 52-card deck toguarantee 2 cards of the same suit? (Note that there are 4suits.)

b. Prove that if four numbers are chosen from the set {1, 2, 3,4, 5, 6}, at least one pair must add up to 7.

Answer & Explanation Solved by verified expert
3.6 Ratings (320 Votes)
a Solution The deck of cards in a set is 52 Since there are 4 suits if we only select the 4 cards then it is possible that we get 2 cards of each suit So 4 is not enough to guarantee at least 2 cards of the    See Answer
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