SOLUTION: Consider a standard deck of 52 cards. How many 5 card hands can be formed that include 2 hearts and 3 clubs

Algebra.Com
Question 1035050: Consider a standard deck of 52 cards. How many 5 card hands can be formed that include 2 hearts and 3 clubs
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
13 hearts choose 2 = 13C2 = (13*12)/(2*1) = 78
For each of those 78 ways to choose 2 hearts, there are
13 clubs choose 3 = 13C3 = (13*12*11)/(3*2*1) = 286
ways to choose the 3 clubs.

Answer (13C2)(13C3) = (78)(286) = 22308 ways.

Edwin
RELATED QUESTIONS

Consider a standard deck of 52 cards. How many 5-card hands can be formed that includes: (answered by Edwin McCravy)
a standard deck of cards has 52 cards composed of 13 hearts, 13 diamonds, 13 spades, and... (answered by math_tutor2020,Alan3354)
How many five-card hands can be chosen from exactly 2 suits of an ordinary 52-card deck?... (answered by josmiceli)
How many different 5-card hands can be dealt from a standard deck of 52... (answered by funmath)
how many different 5 card hands can be drawn from a standard deck of 52... (answered by drk,solver91311)
how many different 5-card hands can be dealt from a standard deck of 52... (answered by ewatrrr)
Consider a standard deck of 52 cards having 13 clubs, 13 diamonds, 13 hearts, and 13... (answered by galactus)
From a standard 52-card deck, how many 5-card poker hands can be dealt consisting of each (answered by stanbon)
A standard deck of cards consists of four suits (clubs, diamonds, hearts, and spades),... (answered by ikleyn,Edwin McCravy)