To find: the number of possible 5-card hands that contains the cards specified.
Given information:
The cards should be: 5 hearts or 5 diamonds
These cards are taken from a standard 52-card deck.
Formula Used:
Combinations of n Objects Taken r at a Time
The number of combinations of r objects taken from a group of n distinct objects is denoted by
Some known values are:
Explanation:
It is known that there are 13 cards of the four suits (spades, clubs, hearts and diamonds).
5 Hearts:
The number of ways to choose 5 hearts from these 13 heart cards is:
Use the above formula for finding combinations value:
5 Diamonds:
The number of ways to choose 5 diamonds from the 13 diamond cards is:
Use the above formula for finding combinations value:
So, total number of possible hands is:
Chapter 6 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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