To win at LOTTO in a certain state, one must correctly select 6 numbers from a collection of 55numbers (one through 55.) The order in which the selections are made does not matter. How many different selections are possible?

Answers

Answer 1

Answer:

Number of different selection = 50C6

Number of different selection = 50 x 49 x 48 x 47 x 46 x 45

Number of different selection = 15 890 700

Step-by-step explanation:

Answer 2

The number of the different ways of selections are possible will be 28,989,675.

What are permutation and combination?

A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.

To win at LOTTO in a certain state, one must correctly select 6 numbers from a collection of 55numbers (one through 55).

The order in which the selections are made does not matter.

Then the number of the different ways of selections are possible will be

⇒ ⁵⁵C₆

⇒ (55!) / [(55 - 6!) × 6!]

⇒ (55 × 54 × 53 × 52 × 51 × 50 × 49!) / [49! × 6 × 5 × 4 × 3 × 2 × 1]

⇒ 11 × 3 × 53 × 13 × 51 × 25

⇒ 28,989,675

Thus, the number of the different ways of selections are possible will be 28,989,675.

More about the permutation and the combination link is given below.

https://brainly.com/question/11732255

#SPJ2


Related Questions

simplify [tex]\sqrt{-121}[/tex]

Answers

Answer:

You cannot simplify because you cannot square root a negative.

please help no work needs to be shown

Answers

i got 57.352 but i’m not 1000% sure

The table shows the amount spent on tomatoes at three different stands at a farmer's market. Which stand sold their tomatoes at the least expensive price per pound, and what is that price? Round to the nearest cent as necessary.​

Answers

Answer:

i have the same question someone pls answer

Step-by-step explanation:

Stand C sold their tomatoes at the least expensive price per pound that price is 2.70 per pound.

What is Ratio?

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

Stand    Weight(lb)    Cost

  A            3/4             2.00

  B            1 1/4            3.45

  C            5 1/2            14.85

We have to determine the price of sold tomatoes at the least expensive price per pound.

the price of sold tomatoes at stand A:

⇒ 2/(3/4) = 2/0.75  = 2.67 per pound.

the price of sold tomatoes at stand B:

⇒ 3.45/(5/4) = 3.45/1.25  = 2.76 per pound.

the price of sold tomatoes at stand C:

⇒ 14.85/(11/2) = 14.85/5.5= 2.70 per pound.

Here is the least expensive price per pound at stand C.

Therefore, stand C sold their tomatoes at the least expensive price per pound that price is 2.70 per pound.

Learn more about the Ratio here:

brainly.com/question/1504221

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PLS SOMEONE HELP QUICK

Answers

Answer:

light blue

Step-by-step explanation:

Please help. It’s due in a couple minutes

Answers

Answer:

They failed to create a strong national government.

Step-by-step explanation:

They gave the states too much power that the government should have had making the national government weak.

Quinton typically walks 28 yards south on Pine Street and 45 yards east on Maple Avenue in order to get to school. How much shorter would his walk be if he took the shortcut shown below? (50PTS)

Answers

Answer:

B- 20 yards

Step-by-step explanation:

First you have to find the hypotenuse by finding the square root of 28 squares plus 45 squared which equals 53 yards. Next you have to add the two legs of the right triangle so we can subtract the shortcut length from that. So you have to do 28 plus 45 which equals 73 yards. 73 minus 53 is 20. So the answer is 20 yards.

Answer:

20

you have to find the hypotenuse by finding the square root of 28 squares plus 45 squared which equals 53 yards.  you have to add the two legs of the right triangle so we can subtract the shortcut length from that. So you have to do 28 plus 45 which equals 73 yards. 73 minus 53 is 20. So the answer is 20 yards.

Can someone help me pleaseeee
Amdjjsisjshajsvdvd

Answers

Answer:

I BELIEVE THE ANSWER WOULD BE C

Step-by-step explanation:

I’m pretty sure it’s C sorry if I’m wrong

What is the solution to the system of equations graphed below?


(2, 4)
(4,2)
(0.6)
(6.0)

Answers

Answer:

(4,2)

Step-by-step explanation:

You can see the point where lines crossed.

Hope this helps you.

4,2 of B Hope you get good grades

If the two signs in a division problem are one positive and one negative, will the quotient be positive or negative?

Answers

Answer:

negative

Step-by-step explanation:

Answer:

SAME

Step-by-step explanation:

The product of two positive integers or two negative integers is a positive integer. That means if you multiply two OF the same sign numbers, the product is always positive. SAME

Multiple Step Equations
Solve the multiple choice equation
What is the solution to this equation?
5(x – 4) = 3x + 4
A x = -8
(B) x = -2
C x=3
(D) x = 12
Math

Answers

The answer is D.

The first step is to use the distributive property and turn 5(x-4) into 5x - 20.
You then move the twenty into the right equation by adding 20 to both sides. The final step is to move the 3x into the left equation by subtraction and then dividing both sides by 2 to isolate x. Hope this helped !!

Answer:

D

Step-by-step explanation:

5(x-4) = 3x + 4

5x-20 = 3x + 4

5x-3x-20= 4

2x=4 +20

2x=24

x=12

check answer by inserting 12 for x into original  equation.

5(12-4) = 3(12) +4

5(8) = 36 +4

40 = 40

Can someone help me with this please asap

Answers

Answer:

The answer is 4

Step-by-step explanation:

because all of the angles need to add up to 180 so 17 x 4 is 68 and 68 - 8 = 60 and 60 x 3 = 180 so the answer would be 4

Answer:

4

Step-by-step explanation:

Since all the sides are congruent, so is the angles and in a triangle all angles add up to 180. To find the angle of one of them divide 180 by 3 which is 60.

Then put the equation equal to 60

17x - 8 = 60

17x = 68

x = 4

Hey guys i need help on this problem it from cpm idk if u guys know it but
Can u guys show it to me plz ;-; 2x-3=-x+3

Answers

Answer:

x = 2

Step-by-step explanation:

2x - 3 = -x + 3

+x           +x

3x - 3 = 3

    +3   +3

3x = 6

/3     /3

x = 2

Hope this helped! :)

Use a property of exponents to simplify. 3Use as the base.

Answers

Answer:

3^4 because when u divide exponents w same base just subtract the exponents

Step-by-step explanation:

Help me with this please

Answers

Answer:

B?

Step-by-step explanation:

When the quotient property of exponents is applied, which operation is used to simplify the exponents? (1 point)
A. Adding
B. Subtracting
C. Multiplying
D. Dividing

Answers

C-Multiplying
Because whatever the number is for the exponent you’re going to multiply the whole number by that much :)
Hope this helped

How do you think the area of the polygon compare to the area of the circle

Answers

Answer:

It is split open, therefore creating a new polygon

Step-by-step explanation:

?????????????????????????????????????????????

Answers

Answer:

A

Step-by-step explanation:

Here's a graph too. Make sure you pay attention to the lines, if they are dotted or not.

I hope this helps!!

idk how to do math ​

Answers

that's why we have the beautiful internet

The distance to the nearest exit door is less than 150 feet.
Use d to represent the distance (in feet) to the nearest exit door.

Answers

Answer:

d<150

Step-by-step explanation:

what expression is equivalent to (7² )⁵ ÷ 7¯⁶

Answers

Answer: 7^16

Step-by-step explanation:

Does the graph represent a function? Why or why not?

Answers

Answer:

Yes

Step-by-step explanation:

The line can go through the graph and have the y- axis lines hit it once

Answer:

it does not.

Step-by-step explanation:

for a graph to represent a function, it needs to pass the vertical line test (just run a finger or pencil along the graph vertically and if you never have two points touch the vertical line, it passes). there are multiple points at x=0

A sink contains 16 liters of water before the drain is opened. It drains at a rate of 2 liters per minute.

Use the segment tool to plot a graph representing the liters of water in the sink over time. Plot only one segment which represents the situation from when the sink starts draining until the sink is empty.

Answers

Answer:

8

Step-by-step explanation:

16 liters divided by 2 liters a minute you get 8

also i would do a graph but there is no way of putting it up with my answer i hope this helps a little if it doesnt im sorry

Pls help last one
Which one is it

Answers

I think it’s SAS

SAS Means: If any two angles and the included side are the same in both triangles, then the triangles are congruent

11) What is the y-intercept of the function?


O (0,-5)
O (5,0)
O (-5,0)
O (0,5)

Answers

The answer would be (-5,0)

In triangle ABC, AB measures 25 cm and AC measures 35 cm. The inequality < s < represents the possible third side length of the triangle, s, in centimeters. The inequality < p < represents the possible values for the perimeter, p, of the triangle, in centimeters.

Answers

Answer:

The inequality 10 < s < 60 represents the possible third side length of the triangle, s in centimeters.

The inequality 70 < p < 120 represents the possible values for the perimeter p, of the triangle in centimeters.

Step-by-step explanation:

Firsts one The lower number has to be the difference between the bigger number and smaller number. In this case 35 - 25 = 10 and the s < 60 has to be the sum of both numbers.

Second one. I'm assuming it's just the sum of the two numbers to the first answer, and the second number is just the second number from the previous one, but multiplied by 2. Sorry that I couldn't go into too much detail about this one

The inequality that represents the possible third side length

[tex]10cm<s<60cm[/tex]

The inequality that represents the possible values for the perimeter

[tex]70cm<P<120cm[/tex]

Given :

In triangle ABC, AB measures 25 cm and AC measures 35 cm.

For any triangle , we know that the sum of measures of two sides is greater than the third side

Let 's' be the third side length

[tex]25+35>s\\60>s\\\\Also , s+25>35\\s>35-25\\s>10\\Inequality\; is \;\\10<s<60[/tex]

Now we find the perimeter when s=10

Perimeter = sum of all the sides

[tex]s=10\\P=25+35+10=70\\s=60\\P=25+35+60=120[/tex]

[tex]70<P<120[/tex]

Learn more : brainly.com/question/2605035

15 points!!
b. Determine whether hypotenuse-leg (HL) is a valid means for establishing triangle
congruence for right triangles. If it is a valid criterion, explain why.

Answers

Answer:

If the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Step-by-step explanation:

An airplane on autopilot took 5 hour to travel 3,475 kilometers what was the airplane speed in kilometers per hour ​

Answers

Answer:

695 km/h

Step-by-step explanation:

3,475 / 5 = 695

Calculate a number whose square root is 2.3

Answers

Answer: The root of 2.3 is 1.5165750888103

Step-by-step explanation:

Someone plz help this is due tmr and I’m gonna get a f

Answers

the answer is 48. because both are parallel to each other and its a corresponding angle so angles are same :)
The angle is 48 degrees I believe

Nathan spins 2 different spinners at the same time. There are a total of 10 possible outcomes. Which pair of spinners did Nathan spin? A B 1 2. AB E с 5 3 E с 1 2 D 4 D А B B 1 2 care 1 2 E с D с D 3​

Answers

Answer:

Since the spinners have been spun simultaneously, every side on each of the spinner carries equal probability of landing. In order for there to be only 10 possible outcomes, no more no less, the spinners cannot be identical. One of the spinner in two sided while the other spinner must then be a five sided spinner. Choosing this particular pair of spinners gives Nathan 10 possibilities of combinations.

Hope that answers the question, have a great day!

Step-by-step explanation:

Other Questions
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