SOLUTION: This exercise refers to a standard deck of playing cards. Assume that 5 cards are randomly chosen from the deck.
How many hands contain exactly 3 aces?
Algebra.Com
Question 1110529: This exercise refers to a standard deck of playing cards. Assume that 5 cards are randomly chosen from the deck.
How many hands contain exactly 3 aces?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
If you have 3 aces in your hand, then there are 49 other cards that could make up the other 2 cards.
However since you're looking for exactly three ace hands, neither of the two remaining cards can be the last ace.
So there are only 48 possible cards remaining.
So in total there are possible outcomes for each three ace hand.
Since there are 4 aces you could have C(4,3) or 4 possible three ace hands.
Multiplying,
RELATED QUESTIONS
This exercise refers to a standard deck of playing cards. Assume that 5 cards are... (answered by Theo)
This exercise refers to a standard deck of playing cards. Assume that 5 cards are... (answered by Alan3354)
This exercise refers to a standard deck of playing cards. Assume that 5 cards are... (answered by math_helper,rothauserc)
This exercise refers to a standard deck of playing cards. Assume that 5 cards are... (answered by Edwin McCravy)
This exercise refers to a standard deck of playing cards. Assume that 5 cards are... (answered by ikleyn)
This exercise refers to a standard deck of playing cards. Assume that 5 cards are... (answered by math_tutor2020)
This exercise refers to a standard deck of playing cards. Assume that 5 cards are... (answered by math_helper,math_tutor2020)
This exercise refers to a standard deck of playing cards. Assume that 5 cards are... (answered by Boreal)
This exercise refers to a standard deck of playing cards. Assume that 8 cards are... (answered by Edwin McCravy)