SOLUTION: seven cards are drawn from a deck of cards. in how many ways can 4 of one suit and 3 of another suit be drawn?
Algebra.Com
Question 450455: seven cards are drawn from a deck of cards. in how many ways can 4 of one suit and 3 of another suit be drawn?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
seven cards are drawn from a deck of cards. in how many ways can 4 of one suit and 3 of another suit be drawn?
----
Pick a suit: 4 ways
Pick 4 cards of that suit: 13C4
Pick another suit: 3 ways
Pick 3 cards of that suit: 13C3
----
Total number of hands = 4*13C4*3*13C3 = 2,453,880
=============
Cheers,
Stan H.
RELATED QUESTIONS
how many ways can a hand of five cards consisting of three cards from one suit and two... (answered by Edwin McCravy)
How many cards must be drawn from a standard 52 card deck to be certain that 4 cards of... (answered by josmiceli)
4 cards are drawn from an ordinary deck. In how many ways is it possible to draw 3 cards... (answered by edjones)
Two cards are drawn one after another at random from a standard deck of cards. In how... (answered by Fombitz)
Suppose four cards are drawn from a deck of cards. In how many ways can four aces be... (answered by stanbon)
A single card is drawn from a standard 52-deck of cards with four suits: hearts, clubs,... (answered by Edwin McCravy)
if 5 cards are drawn at random from a deck of 52, what is the probability of pulling 3... (answered by greenestamps)
I'm dealt 7 cards from a standard deck of 52 cards.
In how many different ways can all... (answered by stanbon)
Hanafuda is a japanese game that uses a deck of cards made up of 12 suits, with each suit (answered by stanbon)