1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
olchik [2.2K]
3 years ago
12

"From a standard deck of cards, find the number of different 5-card hands that are made up of 3 spades and 2 diamonds"

Mathematics
1 answer:
juin [17]3 years ago
5 0

Answer:

^{13}C_3 \times ^{12}C_2 = 22308

Step-by-step explanation:

We have 5 spaces. In our hand.

_ _ _ _ _

a standard deck of 52 cards contains 13 cards for each suit.

so we have 13 spades and 13 diamonds in total. There arrangements don't matter (it doesn't matter if the first card is 9 of spades or the second is 9 of spades, all of these will be counted as one arrangement)

^{13}C_3: to choose the 3 spade card from a total of 13 spades.

^{12}C_2: to choose the 2 diamond cards from a total of 13 diamonds.

and that is it!

we're gonna multiply the two values.

^{13}C_3 \times ^{12}C_2

You might be interested in
You want to give your friend a soccer ball for a gift. The soccer ball has a
Ede4ka [16]

Answer:

volume of cube share box = 67.92 inch²

Step-by-step explanation:

given data

soccer ball volume = 85.3π cubic inches

solution

we know that ball will fit inside the box when box length will be equal to diameter of ball

and here soccer ball volume will be express as

soccer ball volume = \frac{4}{3}\times \pi \times r^3      .................1

85.3π  =  \frac{4}{3}\times \pi \times r^3    

solve it we get

r³ = 69.9765

r = 4.12 inch

so diameter = 2 × 4.12 = 8.24 inch

diameter = length of box side

volume of cube share box = a²

volume of cube share box = 8.24²

volume of cube share box = 67.92 inch²

6 0
3 years ago
I Need Help Guys , Been in it for 30 minutes
kodGreya [7K]

Answer:

The ratio is 2:3.  10m:15m is the fraction 10/15.  Reduce to 2/3.  The ratio is 2:3.

Step-by-step explanation:

4 0
2 years ago
PLS HELP ME WITH MY MATH =3=<br>The sum of 10 and x is -12​
Nezavi [6.7K]

Answer:

X= 2

Step-by-step explanation:

10 + x = -12

X = 12 - 10

X = 2

6 0
3 years ago
Read 2 more answers
Which expression is equivalent to the expression below?
cestrela7 [59]

Answer:

Your answer is B.

Step-by-step explanation:

So you do 3x+5x-10 (cuz your multiplying) then you add the x which is 3x+5x you get 8x-10

5 0
3 years ago
What’s up solution should be used to rewrite 16(x^3+1)^2-22(x^3+1)-3=0
ladessa [460]

Answer:

x = cuberoot( -9/8)= -1.04004  or  x = cuberoot(1/2)=0.7937

Step-by-step explanation:

let y = x^3 + 1

we have:

16*(y) ^2   -  22 (y)  - 3 = 0

16 = 2* 8

-3 = -3* 1

8*-3  + 2 = -24 + 2 = -22

Factor as  (8y + 1)(2y - 3) =  16 (y)^2 - 22(y) - 3 = 0

so  (8y + 1) = 0   or   2y - 3 = 0

y = -1/8   OR   y = 3/2

with  y = x^3 + 1

solve for x

-1/8 =  x^3 + 1

x^3 = - 9/8

x = cuberoot( -9/8)

about x = -1.04004

or   3/2 = x^3 + 1

1/2 = x^3

x =  cuberoot( 1/2 ) = 0.7937

3 0
3 years ago
Other questions:
  • Describe the relationship between the two quantities. Distance traveled by car; Amount of gas in the car.
    11·2 answers
  • Jason is playing a trivia game with his friends. At the end of each round, his score updates to the square of 1 less than the pr
    12·2 answers
  • The volume of a cylinder is 400x cm. The radius of the base of the cylinder is 4 cm. What is the height of the cylinder
    11·1 answer
  • 109.06 in scientific notation is
    15·2 answers
  • Please help like now
    9·1 answer
  • P(4)+5&gt;-32<br> Thank you ;)
    8·1 answer
  • Please help I'm timed!!
    8·2 answers
  • I need help. I'm failing math
    9·1 answer
  • This is hard i need help
    6·2 answers
  • I need help I have been stuck on it FOREVER!!!
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!