SOLUTION: Suppose you have a deck of 52 playing cards (no jokers)
A. How many five-card hands containing exactly three aces are possible?
B. How many five-card hands containing exactly thr
Algebra.Com
Question 1126830: Suppose you have a deck of 52 playing cards (no jokers)
A. How many five-card hands containing exactly three aces are possible?
B. How many five-card hands containing exactly three of a kind are possible?
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
A. C(4,3)*C(48,2) =
B. C(4,3)*C(48,2)*C(13,1) =
As "three of a kind" is a specific type of poker hand, I should mention this answer includes full-houses (where the non-triplicate cards match in rank).
To exclude full-houses, note that there are C(13,1)*C(4,3)*C(12,1)*C(4,2) = 3744 of them, so you would have 58656-3744 true "three of kind" poker hands.
RELATED QUESTIONS
In a deck of 52 playing cards (jokers not allowed), how many five-card poker hands... (answered by Edwin McCravy)
In a deck of 52 playing cards (jokers not allowed), how many five-card poker hands... (answered by greenestamps)
How many five card hands consisting of 3 kings and 2 aces can be dealt from a deck of 52... (answered by stanbon)
How many five card hands consisting of 2 kings and 3 aces can be dealt from a
deck of... (answered by Edwin McCravy)
How many five card hands consisting of 2 kings and 3 aces can be dealt from a deck of 52... (answered by stanbon)
This exercise refers to a standard deck of playing cards. Assume that 5 cards are... (answered by Fombitz)
From a deck of 52 playing cards, 5 cards are to be drawn.
a) How many 5-card hands are... (answered by math_tutor2020)
How many ways are there to choose two twos from a standard 52-card deck?
How many ways... (answered by CPhill)
Of the 2,598,960 different five-card hands possible from a deck of 52 playing cards, how... (answered by Alan3354)