Answer to Question #110502 in Discrete Mathematics for dsadssdcsa

Question #110502
How many cards must be selected from a standard deck of 52 cards to guarantee that at least three cards of the same suit are chosen?
1
Expert's answer
2020-04-20T11:46:28-0400

Imagine we have no more 2 cards of each suit. This means that we have no more than 2*4 = 8 cards at all.


Therefore, by selecting the 9th card, by the pigeon principle(9 cards and 4 suits), we will guarantee at least 3 cards of the same suit will be chosen.


Along with that, this number can't be less than 9, since we have provided with the example for 8 cards.

So, the least answer is 9.


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Comments

Assignment Expert
12.01.21, 20:08

Dear sagar, please use the panel for submitting new questions.

sagar
12.01.21, 17:25

How many cards must be drawn from pack of 52 cards to be sure that you have seven cards of one suit. Select one: a. 25 b. 52 c. 33 d. 77

Assignment Expert
05.11.20, 18:25

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Amina
05.11.20, 08:32

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