How many ways can you choose the 5 cards out of a 52 card deck?

If you take all the possible 5 card draws, and multiply that by the probability all 5 cards are hearts, the result is all the possible 5 heart draws.

The number of ways to draw 5 cards from 52 is a combination...52C5. Remember the formula for combinations:

nCk = n! / (k! * (n-k)!. In this case n=52 and k=5:

52!/(5!*(52-5)!)= 52!/(5!*47!) = (52*51*50*49*48)/(5*4*3*2*1) = 2,598,960.

That's the total number of five-card combinations. But what is the probability that all five cards are hearts? There are 13 hearts in the deck of 52 cards.

P card 1 being a heart is 13/52.

The probability of all five events is the product of their probabilities:

13/52 * 12/51 * 11/50 * 10/49 * 9/48 = 0.000495198079231693.

The number of combinations of five cards, times the probability of all five hearts, gives us the answer we want.

0.000495198079231693*2,598,960=1,287.

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,