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fiasKO [112]
3 years ago
15

How many ways can five cards be selected from a standard deck of 52 cards?​

Mathematics
1 answer:
elena55 [62]3 years ago
6 0

Step-by-step explanation:

If the order of the cards doesn't matter:

₅₂C₅ = 52! / (5! (52−5)!)

₅₂C₅ = 2,598,960

If the order of the cards does matter:

52 × 51 × 50 × 49 × 48 = 311,875,200

You might be interested in
The product of two numbers is 36 and their sum is 37. What is their difference?
hichkok12 [17]
Hello,
Let's be a the greatest number, b the smallest

Method 1:

a+b=37 ==>b=37-a
a*b=36==>a(37-a)=36
==> a²-37a+36=0
==>a²-36a-a+36=0
==>a(a-36)-(a-36)=0
==>(a-36)(a-1)=0
(a=36 and b=37-36=1) or (a=1 and b=37-1=36) but a>b ==>exclude
==>a-b=35

Method 2:

a*b=36
a+b=37 ==>(a+b)²=37²
(a+b)²-4ab=37²-4*36
==>a²+2ab+b²-4ab=1225
==>(a-b)²=35²
==>a-b=35 or a-b=-35 (to exclude since a>b)




7 0
3 years ago
Read 2 more answers
HURRY PLZ!
timama [110]

Answer:

D

Step-by-step explanation:

f^{-1}(x) means the inverse. The inverse is the function reflected over the y=x line. This means the values have been reversed. (x,y)-->(y,x). We are looking for a point that has reversed values from the table.

The table has (1.-5) so the inverse is (-5,1) or D.

7 0
3 years ago
The height of a cone is twice the radius of its base.
lara [203]

Answer:

A. \frac{2}{3} \pi x^3

Step-by-step explanation:

From the way the answers are presented, it can be seen that x refers to the radius of the base of the cone

radius: x

and we are told that the height is twice the radius, so:

height: 2x

and now we use the formula to calculate the volume of a cone:

V=\frac{\pi r^2h}{3}

where V is volume, r is radius, and h is the height. and \pi is a constant

in this case

r=x

h=2x

so we substitute thisvalues  in the formula for the volume:

V=\frac{\pi x^2(2x)}{3}

Rearranging the terms

V=\frac{2\pi x^3}{3} \\V=\frac{2}{3} \pi x^3

which is option A.

6 0
3 years ago
A paving company is preparing to build a driveway that will be 40 feet long and 12 feet wide. They will start with an 18 inch la
svetlana [45]

Answer:27

Step-by-step explanation:first you need 40 x 12 for the area for your gravel

so 480 divided by 18 = about 27

3 0
4 years ago
What is the length of SR?<br><br><br> 18 units<br><br> 9 units<br><br> 12 units<br><br> 15 units
Serjik [45]

Answer:


Step-by-step explanation:

RT = sqrt(20^2 - 16^2)

RT = sqrt(400 - 256)

RT = sqrt(144)

RT = 12


SR/ST=  QR/QT

SR/12 = 20/16

SR = 12 x 20 / 16

SR = 240/16

SR = 15


answer is C.

15 Units


7 0
4 years ago
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