You are dealt 5 cards from a standard 52 card deck (order doesn't matter and without replacement). All 5 cards have distinct numbers/faces. You discard two cards and return them to the deck, and then draw two more from the remaining deck (order doesn't matter and without replacement). How many ways are there so that your final hand contains one pair? (Pair: two cards with the same number/face value, but different suits.) The answer is an integer. Thanks in advance!

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.6: Permutations And Combinations
Problem 2SC: How many different signals can be sent, when three flags are used, if two of the 9 flags are...
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Answer the following question accordingly. Thanks in advance!

You are dealt 5 cards from a standard 52 card deck (order doesn't matter and without
replacement). All 5 cards have distinct numbers/faces.
You discard two cards and return them to the deck, and then draw two more from the remaining
deck (order doesn't matter and without replacement).
How many ways are there so that your final hand contains one pair? (Pair: two cards with the
same number/face value, but different suits.)
The answer is an integer.
Thanks in advance!
Transcribed Image Text:You are dealt 5 cards from a standard 52 card deck (order doesn't matter and without replacement). All 5 cards have distinct numbers/faces. You discard two cards and return them to the deck, and then draw two more from the remaining deck (order doesn't matter and without replacement). How many ways are there so that your final hand contains one pair? (Pair: two cards with the same number/face value, but different suits.) The answer is an integer. Thanks in advance!
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