Mathematics High School

From a standard deck of cards, a 5-card hand is dealt. Calculate the number of hands that contain 4 diamonds and 1 black king

Answers

Answer 1

Answer:

1430

Step-by-step explanation:

Given that a standard deck of cards is 52 cards, we have 13 Diamonds and we need 4 diamonds.

Hence, we have 13C4.

Also, we have 4 kings in a standard deck of cards, and in which we have 2 black kings but we need 1 king.

Hence we have a 2C1

Therefore:

13C4 * 2C1

=> 13! ÷ [4! (13 - 4)!] * 2! ÷ [1! (2-1)!]

=> 13! ÷ [4! (9)!]

=> (1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 x 11 x 12 x 13) ÷ [(1 x 2 x 3 x 4) (1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9)]

=> (10 x 11 x 12 x 13) ÷ 24

=> (17160 ÷ 24) * (24 ÷ 6)

=> 715

2! ÷ [1! (2-1)!]

=> 2

Hence, we have 715 * 2

=> 1430

Hence, in this case, the correct answer to the question is 1430

Related Questions

Find the amount of time.
I = $10, P = $100, r = 2%

Answers

16 (  multiply them divide ect)

a dog has 6 balls. the cat has 3 balls how many more balls does the cat need

Answers

Answer:

Do you mean how many more balls does the cat needs to match to the amount of balls the dog has??

If that's the case 3 more balls are needed

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

3

Hector's car holds 12.6 gallons of gas. If gas costs $3.25 per gallon, how much does it cost for him to fill his tank?

Answers

Answer:

$40.95

Step-by-step explanation:

12.6 * 3.25 = 40.95

An orange juice container starts with 6 7/8 cups of juice. How much orange juice is left after three 1 1/4 cup serving are poured?

Answers

6 7/8 - 1 1/4

6 7/8 - 1 2/8 = 5 5/8

5 5/8 Cups

Jasmine found a wooden jewelry box shaped like a right rectangular prism what is the volume of a jewelry box

Answers

Answer:

672

Step-by-step explanation:

In math, volume is the amount of space in a certain 3D object. To find the volume, you multiply length times width times height. So 8 x 14 x 6 = 672

What is the quadratic function for this graph?

Answers

Answer:

f(x) = (x + 3)² + 2

Step-by-step explanation:

Vertex for of a quadratic function is given by,

f(x) = a(x - h)² + k

Here, (h, k) is the vertex of the parabola.

From the given picture,

(-3, 2) is the vertex of the graph.

Therefore, function will be,

f(x) = a(x + 3)²+ 2

Since, the graph of the function passes through (0, 11),

f(0) = a(0 + 3)²+ 2

11 = 9a + 2

9a = 9

a = 1

Equation of the function,

f(x) = (x + 3)² + 2

Nancy’s grandma needs 5/8 of a yard of lace for each doll hat she makes. How many doll hats can she make with 10 yards of lace?

Answers

16 10 divided by 5/8 = 16

How do you solve this ? (sorry for the mess pls reply asap!!!)

Answers

21 hope that helps you out

Hi can someone plss help with this question!!!

Answers

Answer:

Function A < Function B

Step-by-step explanation:

Solving for Function A:

Taking two points: (0,1) and (4,2)

y = mx+c

Substituting (0,1):

1 = 0 + c

c = 1

Substituting (4,2):

2 = 4m+c

Substituting 'c':

2 = 4m + 1

4m = 1

m = 0.25

Comparing slopes (slopes of each - 0.25 and 0.75):

0.75 > 0.25

Hence,

Function A < Function B

Feel free to make it brainliest

Victoria has $10 in a savings account. The interest rate is 10%, compounded annually. To the nearest cent, how much interest will she earn in 2 years?

Answers

explanation in that file he sent

HELP ASAP I NEED THIS DONE.

Answers

26 - add all the sides

I tried but kept getting it wrong ;-;
Find the area of the composite figure.​

Answers

<15> and <10> add first 25 <25> and 5 add second 30 <30> and 7 add third 37 <37> and 6 <6> now add that an u get <43> thats ur answer :)

What is the classification of the following
triangle? Write scalene,Isosceles, or right.
9 cm
1107
7 cm

Answers

Answer:

Obtuse

Step-by-step explanation:

I believe that it is obtuse because the triangle's sides are all different and the triangle looks like it is over 180 degrees and would be an obtuse triangle.

Can someone pls help me with this?

Answers

Answer:

the answer is d

Step-by-step explanation:

so for one do y-intercept has to be at (0,25) so we can eliminate answer choices B and C

the reason why it is not a is because a is moving out of constant rate of 25 when it needs to be moving at a constant rate like 10 D is the answer because it's moving at a constant rate of 10 and it has a y intercept of (0,25)

The answer is graph D

It starts out at 25 and each week the graph goes up only 10 dollars, so it’s the only one that makes sense. Good luck!!!

A triangle has side lengths of (9.6p + 7.6) centimeters, (8.7p - 9.1) centimeters, and (5.9q + 3.8) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?​

Answers

Step-by-step explanation:

the expression is (9.6p+7.6)+(8.7p-9.1)+(5.9q+3.8)

24.2p+2.3

Simplify the sum.
(2u3 + 6u2 + 3) + (2u3 – 7u + 6)
A.
9-74 + 642 + 403
03 + 62 - 7 + 9
Ou3 - 742 + 60-9
403 + 642 - 74 + 9

Answers

Answer:

4u^3 + 6u^2 - 7u + 9

Step-by-step explanation:

(2u3 + 6u2 + 3) + (2u3 – 7u + 6)

Remove the brackets.

2u^3 + 6u^2 + 3 + 2u^3 - 7u + 6

2u^3 + 2u^3 = 4u^3

6u^2

- 7u

3 + 6 = 9

Now just read down

4u^3 + 6u^2 - 7u + 9

The answers don't seem to connect with the question. Is U equal to something?

Please give me the correct answers.Only answer if you're very good at math.Please don't put a link to a website.​

Answers

Share a vertex & side= 3,4
Inside the triangle= 1,2,3
Outside the triangle= 4

Y=1/2x-1
2x+y=4
Substitution method
Elimination method
Graphing method

Answers

Answer:

X=2 and y=0

Step-by-step explanation:

ILL MARK AS BRAINLESS PLS HELP HURRY

Answers

Answer:

white to grey is 13:12

Step-by-step explanation:

The grid has 25 squares, shade 12 of them grey

Is quadrilateral ABCD a parallelogram? Explain.

Answers

Answer:

don't know

Step-by-step explanation:

como responder la ecuación :
5x=35 745​

Answers

Answer:

x=7149

Step-by-step explanation:

Let's solve your equation step-by-step.

5x=35745

Step 1: Divide both sides by 5.

5x/5 =35745/5

Answer:

x=7149

14. An online file storage site offers a payment plan where users can pay for a year membership In
twelve equal payments. If Manny paid $7.95 per month, how much did he pay In full for the year?

Answers

Answer: 95.4

Step-by-step explanation:

Anybody know ? Need help

Answers

Answer:

i think a but i’m not sure

sorry if wrong

Step-by-step explanation:


PLS SOMEONE ANSWER THIS ITS EASY (MCQ)!!!

Answers

Answer:

i think itss B but im not 100 percent sure

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Help I give crownnnn !!!

Answers

Answer:

it is 11

Step-by-step explanation:

i did the math

Answer:

11

Step-by-step explanation:

1x2=2

3x3=9

9+2= 11

HELPPP THIS IS MY LAST QUESTION AHHHH

Answers

Answer:

its eather a or c

Step-by-step explanation:

Help me plsssssssssssssssss

Answers

Answer:

I would say 1.5in

Step-by-step explanation:

A swimming pool is 30 ft long and 15 ft wide. How much water do you need to fill the pool if it is 6 ft deep? (Thanks?)

Answers

Well the volume of the pool is 2700 ft

where is the code for genes stored

Answers

The genes are stored on two strands of a DNA molecules as a linear, non-overlapping sequence of the nitrogenous bases Adenine (A), Guanine (G), Cytosine (C) and Thymine (T). These are the "alphabet" of letters that are used to write the "code words".

Hope it helped

help me plzzz all i need is this plz

Answers

Step-by-step explanation:

70*+ 30* (* means degree)

the 30 degree is only a imagination....

70+30=90*. so x is equal to 30*

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