SOLUTION: Please help me solve this.
Suppose 5 cards are dealt from a standard deck of 52 cards. How many unique 5-card hands are possible?
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Question 1066282: Please help me solve this.
Suppose 5 cards are dealt from a standard deck of 52 cards. How many unique 5-card hands are possible?
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
How many different sets of 5 cards each can be formed from a standard deck of 52 cards?
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The 1st choice is 1 of 52.
Then 1 of 51, etc.
--> 52*51*50*49*48 = 311857200
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But, choosing cards A,B,C,D & E is the same as B,A,D,E & C.
--> 120 (5*4*3*2*1) ways to get the same 5 cards.
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311857200/120 = 2598960 sets
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.
Each set is a "combination" of 52 items taken 5 at a time.
It is classical combinations in the combinatoric sense.
On Combinations, see the lessons
- Introduction to Combinations
- PROOF of the formula on the number of Combinations
- Problems on Combinations
- OVERVIEW of lessons on Permutations and Combinations
in this site.
Also, you have this free of charge online textbook in ALGEBRA-II in this site
- ALGEBRA-II - YOUR ONLINE TEXTBOOK.
The referred lessons are the part of this online textbook under the topic "Combinatorics: Combinations and permutations".
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