How many different five-card hands are there from a standard deck of 52 playing cards?

1 answer:

5 0

In predicting the number of ways, there are two methods in probability; combination and permutation. Combination do not care what order it may be whereas permutation cares about the order. In this problem, we can use combination because the grouping of 5 cards is not restricted on what type of cards are to be inn this group. Use the equation:

C = n! / k! (n-k)!
C = 52! / 5! (52 - 5)!
C = 2,598,960

You might be interested in

PLEASE HELP I HAVE 5 MIN TO TURN THIS IN!!!!!!!!!!!!!

s344n2d4d5 [400]

Answer:

The answer is x²-9x+16

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

If 2(x - 5) + 3(x - 5) = 10, what is the value of x - 5?

Darya [45]

Answer:

x = 2

Step-by-step explanation:

2x - 10 + 3x - 15 = 10

5x - 25 = 10

5x = 35

x = 7

7 - 5 = 2

6 0

4 years ago

Read 2 more answers

Kaleb makes an investment at 5.2 percent simple interest. At the end of 1 year, the total value of the investment is $2419.60. H

Dafna11 [192]

The future amount of the current deposit given that the interest is simple and yearly is computed through the equation,
F = P x (1 + in)
where P is the principal amount, F is the future amount, i is the interest (in decimal form) and n is the number of years.

In this certain problem, we substitute the known values to the equation and solve for P,
2419.60 = P x (1 + (0.052)(1))
P = 2300
Thus, the initial investment was worth $2,300.

3 0

3 years ago

At the beginning of the month a store had a balance of −$554. During the month the store lost another $600. What is the current

musickatia [10]

When subtracting a number from a negative number the number appears to get larger, but in fact only becomes smaller. - 554 - 600 = - $1154

4 0

4 years ago

Read 2 more answers

A researcher posts a newspaper advertisement offering 520 in exchange for participation in a short study. The researcher accepts

iVinArrow [24]

Answer:

It's a valid sample because the first five people were selected to participate.

Step-by-step explanation:

True because random people who saw the advertisement responded. By chance, not every person who saw the advertisement answered, therefore it was random, but it would be more random if he decided to reject the second, fourth, sixth, and eighth person, and only the first, third, fifth, seventh, and ninth were chosen.

5 0

3 years ago