SOLUTION: How many 5-card poker hands consisting of two 4's and three cards that are not 4's are possible in a 52-card deck?

SOLUTION: How many 5-card poker hands consisting of two 4's and three cards that are not 4's are possible in a 52-card deck?

Algebra.Com

Question 745269: How many 5-card poker hands consisting of two 4's and three cards that are not 4's are possible in a 52-card deck?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
There are 4 C 2 = 6 ways to pick 2 'four' cards

There are 48 C 3 = 17296 ways to pick 3 cards that aren't 'four' cards

In total, there are 6*17296 = 103776 ways to have a 5-card hand where 2 of the cards are 'four' cards while the other 3 cards aren't 'four' cards.
RELATED QUESTIONS
In a deck of 52 playing cards (jokers not allowed), how many five-card poker hands... (answered by greenestamps)

In a 5-card poker game a player is dealt 5 cards. How many poker hands are possible for... (answered by stanbon)

How many 5-card poker hands consisting of 3 aces and 2 kings are possible with an... (answered by stanbon)

How many 5-card poker hands consisting of 2 aces and 3 kings are possible with an... (answered by jorel1380)

How many 5-card poker hands consisting of 3 aces and 2 kings are possible with an... (answered by Boreal)

From a deck of 52 playing cards, 5 cards are to be drawn. a) How many 5-card hands are... (answered by math_tutor2020)

In a deck of 52 playing cards (jokers not allowed), how many five-card poker hands... (answered by Edwin McCravy)

Topics In Contemporary Math Permutations and Combinations QUESTION 9 In a... (answered by Boreal)

From a standard 52-card deck, how many 5-card poker hands can be dealt consisting of each (answered by stanbon)