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Recall that in a standard deck of cards there are 52 cards each of which has a suit and a face value. Possible face values are A, 2, 3, 4, 5, 6, 7,8, 9, 10, J, Q, K and possible suits are 0, ♡, Any combination of suit and face value makes a card. Part 1. How many ways are there to distribute the cards to 4 players, so that each player has 13 cards? Part 2. A run of 6 cards is a set of 6 cards with the same suit and consecutive face values. Here consecutive refers to the order of the face values given above. For example the cards with suit ♡ and face values 2,3, 4,5, 6,7 form a run of 6. How many ways are there to choose two runs of 6 cards from the full deck? Part 3. Prove that if you distribute the cards as in part (1), then one of the players has at least 4 cards with a ♡.

Recall that in a standard deck of cards there are 52 cards each of which has a suit and a face value. Possible face values are A, 2, 3, 4, 5, 6, 7,8, 9, 10, J, Q, K and possible suits are 0, ♡, Any combination of suit and face value makes a card. Part 1. How many ways are there to distribute the cards to 4 players, so that each player has 13 cards? Part 2. A run of 6 cards is a set of 6 cards with the same suit and consecutive face values. Here consecutive refers to the order of the face values given above. For example the cards with suit ♡ and face values 2,3, 4,5, 6,7 form a run of 6. How many ways are there to choose two runs of 6 cards from the full deck? Part 3. Prove that if you distribute the cards as in part (1), then one of the players has at least 4 cards with a ♡.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Recall that in a standard deck of cards there are 52 cards each of which has a suit and a face value. Possible face values are A, 2,3, 4, 5, 6, 7,8, 9, 10, J, Q, K and possible suits are 0, V, 4, Any combination of suit and face value makes a card. Part 1. How many ways are there to distribute the cards to 4 players, so that each player has 13 cards? Part 2. A run of 6 cards is a set of 6 cards with the same suit and consecutive face values. Here consecutive refers to the order of the face values given above. For example the cards with suit V and face values 2,3, 4, 5, 6, 7 form a run of 6. How many ways are there to choose two runs of 6 cards from the full deck? Part 3. Prove that if you distribute the cards as in part (1), then one of the players has at least 4 cards with a ♡.
Transcribed Image Text:Recall that in a standard deck of cards there are 52 cards each of which has a suit and a face value. Possible face values are A, 2,3, 4, 5, 6, 7,8, 9, 10, J, Q, K and possible suits are 0, V, 4, Any combination of suit and face value makes a card. Part 1. How many ways are there to distribute the cards to 4 players, so that each player has 13 cards? Part 2. A run of 6 cards is a set of 6 cards with the same suit and consecutive face values. Here consecutive refers to the order of the face values given above. For example the cards with suit V and face values 2,3, 4, 5, 6, 7 form a run of 6. How many ways are there to choose two runs of 6 cards from the full deck? Part 3. Prove that if you distribute the cards as in part (1), then one of the players has at least 4 cards with a ♡.
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