All categories

2 years ago

How many different 6 card hands of three face cards and three ace's can I choose from twelve face cards and four ace's?

Mathematics

2 answers:

julsineya [31]2 years ago

3 0

answer :

69 different hand cards

wel2 years ago

3 0

Answer:

Step-by-step explanation:

Combination of 3 face cards out of 12:

12C3 = 12!/(12-3)!3! = 12*11*10/6 = 220

Combination of 3 ace's out of 4:

4C3 = 4!/3! = 4

Combination of 6 cards:

220*4 = 880

You might be interested in

Approximately how many calories should a person who weighs 160 pounds consume per day

sdas [7]

A calorie is a unit which is used to measure the amount of energy in a piece of food. In order to maintain their weight, a person needs to consume a fixed number of calories. A person that weighs 160 pounds needs to consume approximately 2080 calories if they are inactive, 2400 calories if they are moderately active and 2720 calories if they are very active.

4 0

3 years ago

Read 2 more answers

First change to standard form of first order linear differential equation and then by finding the appropriate integrating factor

Leokris [45]

Answer:

Step-by-step explanation:

Given is a Differential equation as

$xy' + y = lnx ; y(e)=1$

To bring it to linear form we can divide the full equation by x

$y'+\frac{y}{x} =\frac{ln x}{x}$

This is of the form

y'+p(x) *y = q(x)

p(x) = 1/x

So find

$e^{\int\limits{\frac{1}{x} } \, dx } = e^{ln x} = x$

Solution is

$xy = \int {x*lnx /x } \, dx =xln x -x +C$

Use the initial value as y(e) =1

$e= eln e -e+C\\C=e$

So solution is

$xy =xln x -x+e$

5 0

3 years ago

Suppose a triangle has two sides of length 33 and 37 and that the angle between these two sides is 120 what is the length of the

Nutka1998 [239]

Answer:

60.65

Step-by-step explanation:

The Law of Cosines can help you figure this out. Call the given sides "a" and "b" and the given angle "C". Then the third side, "c" will satisfy the relation ...

c² = a² + b² -2ab·cos(C)

= 33² +37² -2·33·37·cos(120°) = 3679

c = √3679 ≈ 60.65476 ≈ 60.65

The length of the third side is about 60.65 units.

5 0

3 years ago

Two planes are flying in opposite directions, away from each other, one with the speed of 800 km per hour and the other with the

allsm [11]

1640 km every hour is the answer

3 0

3 years ago

Read 2 more answers

Find the lateral and total surface area for the cone. If necessary, round to the nearest tenth and leave the

bija089 [108]

9514 1404 393

Answer:

262.2π cm²
392.16π cm²

Step-by-step explanation:

The lateral surface area is the product of half the circumference, and the slant height:

LA = πrh = π(11.4 cm)(23 cm) = 262.2π cm²

The total surface area adds the area of the base to that:

A = πr² +LA = π(11.4 cm)² +262.2π cm² = (129.96 +262.2)π cm²

A = 392.16π cm²

3 0

2 years ago