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Question 6 < > How many different 3 card hands can be dealt from a deck of 52 cards? Your answer is :

Question 6 < > How many different 3 card hands can be dealt from a deck of 52 cards? Your answer is :

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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**Question 6:** **How many different 3 card hands can be dealt from a deck of 52 cards?** *Your answer is:* [Input box] This question asks about combinations, specifically how to determine the number of possible 3-card hands selected from a standard deck of 52 playing cards. To solve this, you would use the combination formula: \[ C(n, k) = \frac{n!}{k!(n-k)!} \] where \( n \) is the total number of items to choose from, \( k \) is the number of items to choose, and \( ! \) denotes factorial. In this case, \( n = 52 \) and \( k = 3 \).
Transcribed Image Text:**Question 6:** **How many different 3 card hands can be dealt from a deck of 52 cards?** *Your answer is:* [Input box] This question asks about combinations, specifically how to determine the number of possible 3-card hands selected from a standard deck of 52 playing cards. To solve this, you would use the combination formula: \[ C(n, k) = \frac{n!}{k!(n-k)!} \] where \( n \) is the total number of items to choose from, \( k \) is the number of items to choose, and \( ! \) denotes factorial. In this case, \( n = 52 \) and \( k = 3 \).
Expert Solution
Step 1

solution:

Total number of cards =52

Then, 

Total number of ways to dealt 3 different cards= 52C3

                                                                                          =22100.

 

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