Pollytheboss4905 Pollytheboss4905
  • 15-05-2023
  • Mathematics
contestada

how many 5-card hands that can be dealt off of a 52-card deck, such that two cards are clubs and 3 are hearts?

Respuesta :

mhanifa
mhanifa mhanifa
  • 15-05-2023

Answer:

  • 22308

-------------------

There are 13 clubs and 13 hearts in the deck.

First, find the number of ways to choose 2 clubs out of 13:

  • C(13, 2) = 13! / (2!(13-2)!) = 78 combinations

Next, find the number of ways to choose 3 hearts out of 13:

  • C(13, 3) = 13! / (3!(13-3)!) = 286 combinations

Now, multiply these two results:

  • 78 * 286 = 22308 possible hands
Answer Link

Otras preguntas

Does the following sentence contain a compound subject, compound verb, or compound object? I have often visited the zoo and the wildlife sanctuary.
Brian, age 6, scheduled to have his teeth examined and cleaned.What kind of doctor will Brian see upon arriving Val at the office
solve. {2x+7y=2} {x+y=-1}
an ionic bond can be formed between
What is a complex sentence ?A. Eileen bought pants but not a new jacket. B. As I expected, she showed up late. C. Mark wanted blueberry pie and vanilla ice
what tool is selected by default when paint is opened? ellipse, airbrush, pencil, hand
Give an opinion on the fact that poorer household are the hardest hit
which countries was not a member of the axis powers during world war 2? germany, italy, japan, russia?
the whigs became politically powerful because of the economic problems in the late 1830s. true false
the british employed french soldiers to assist them during the early battles of the revolutionary war. true false