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

What does a 100 lb person weigh on Uranus
.A food company randomly selected 60 pistachios from a recent shipment. The company found that 3 pistachios should be discarded. A large bag of pistachios hol
The Yippies were _____. a pro-war protest movement one of the anti-war protest groups a hip group of white-collar workers a college campus fraternity
Climax of Damon and phythias
Which statement best expresses the relationship between manufacturers and retailers?
What is 111 divided by 4
The point P(x, y) is on the terminal ray of angle theta. If theta is between pi radians and 3pi/2 radians and csc theta= -5/2, what are the coordinates of P(x,
Identify the domain of the equation y = x2 − 6x + 1. x ≤ 3 x ≥ −8 x ≥ −2 All real numbers
The allocation rule of "first come-first served" promotes productive cooperation. True False
A bag contains 5 black marbles, 9 white marbles, and 2 red marbles. One marble is to be chosen at random. What is the probability that the chosen marble will b