52 cards

A hand of five cards is dealt from a pack of 52 playing cards.
How many different hands can be dealt that contain at least three aces?

Final Answer:

n =  4560

Step-by-step explanation:

C3(4)=(34)=3!(43)!4!=14=4  C2(48)=(248)=2!(482)!48!=214847=1128  a=(34) (248)=4 1128=4512 C4(4)=(44)=4!(44)!4!=11=1  C1(48)=(148)=1!(481)!48!=148=48  b=(44) (148)=1 48=48 n=a+b=4512+48=4560



Help us improve! If you spot a mistake, please let let us know. Thank you!







Tips for related online calculators
Would you like to compute the count of combinations?

You need to know the following knowledge to solve this word math problem:

combinatoricsarithmeticbasic operations and conceptsnumbersGrade of the word problem

Related math problems and questions: