A president, treasurer, and secretary, all di erent, are to be chosen from a club consisting of 12 people (whose names are I, J, K, L, M, N, O, P, Q, R, S, and T). How many di erent choices of ocers are possible if: (a) There are no restrictions

Answers

Answer 1

Answer:

There are 220 choices

Step-by-step explanation:

Given

[tex]People = 12[/tex]

[tex]Selection =3[/tex] (President, Treasurer and Secretary)

Required

Determine number of selection (if no restriction)

This is calculated using the following combination formula:

[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]

Where

[tex]n = 12[/tex]

[tex]r= 3[/tex]

So, we have:

[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]

[tex]^{12}C_3 = \frac{12!}{(12 - 3)!3!}[/tex]

[tex]^{12}C_3 = \frac{12!}{9!3!}[/tex]

[tex]^{12}C_3 = \frac{12*11*10*9!}{9!3!}[/tex]

[tex]^{12}C_3 = \frac{12*11*10}{3!}[/tex]

[tex]^{12}C_3 = \frac{12*11*10}{3*2*1}[/tex]

[tex]^{12}C_3 = \frac{12*11*10}{6}[/tex]

[tex]^{12}C_3 = 2*11*10[/tex]

[tex]^{12}C_3 = 220\ ways[/tex]

There are 220 choices


Related Questions

Four more than twenty-six time a number is equivalent to 12 times the same number less 15.
What is the number?

Answers

Answer:

n = -19/14

Step-by-step explanation:

Please transcribe this into a symbolic equation:

26n + 4 = 12n - 15

Then 14n = -19, or n = -19/14.

look at picture and answer ASAP

Answers

Answer:

its B and A

Step-by-step explanation:

Answer:

its in between the fist and second one cuusing what is given thats what i figured out

Step-by-step explanation:

3 x 36= 108 / 3 x 15 = 45

9 x 12 = 108 / 9 x 5 = 45

6 x 18 = 108 / 6 x 7 = 42

i hope this helps :)

2of 5
The ratio of boys to girls in a class is 7:5. There are 36students in the class. How many
students are girls?

Answers

Answer:

15

Step-by-step explanation:

i guarantee you 100 percent this is correct

please give me brainliest

Jason had a 15 foot long bed his sister had a 3 foot longer bed then Jason, How long is his sisters bed?

Answers

Answer:

18

Step-by-step explanation:

basic math :/

Pleaseee Helppppp
Find the minimum value of the function f(x) = x2 + 12x + 31.5 to the
nearest hundredth.

Answers

Answer:

The answer is pie

Step-by-step explanation:

I know best

Answer:

x = -6.00 (rounded to nearest hundredth)

Step-by-step explanation:

for a quadratic equation, [tex]h(x)=ax^2+bx+c[/tex]  we have [tex]f(x)=x^2+12x+31.5[/tex] a = 1 b = 12 to find minimum use equation [tex]x=\frac{-b}{2a}[/tex] [tex]x=\frac{-b}{2a}\\x=\frac{-(12)}{2(1)}\\x=\frac{-12}{2}=-6[/tex]

during the first week of the Season Carly averaged 27 points per basketball game then she went on a scoring streak.​

Answers

Answer:

Part a: 7.5

Part B: It changes by 1.5

Step-by-step explanation:

PART A:

In the table you are suppose to find out how much it increases by so you subtract,

[tex]4.5 - 3 = 1.5[/tex]

[tex]6 - 4.5 = 1.5[/tex]

Since we know the difference is 1.5 you will add 6 by 1.5

[tex]6 + 1.5 = 7.5[/tex]

Therefore, the answer is 7.5

PART B: It changes by 1.5 because the difference between the increase in points is 1.5

Mrs. Healy has two dogs rocky and chino. rocky eats 2 dog treats each day and Chino eats 5 each day. How many treats do the dogs eat in 4 days?

Answers

Answer:

28 treats

Step-by-step explanation:

2x4

5x4

20+8=28

Answer:

the answer is 28 treats in 4 days for both dogs

Step-by-step explanation:

2*4=8+    5*4=20= all together 28 treats for 2 dogs

hope this helped

PLEASE HELP ME 20 POINTS

Answers

Answer:

500

Step-by-step explanation:

a _ variable represented by the symbol h can take on any number of numeric values and allow arithmetic operations to be performed on it

Answers

Answer: It would be a Constant variable.

Hope this helps!

The range of a relation is given.
-2,-1,0,1,2
Which domain would make the relation not a function?
o 1,1,0,-1, - 1
0 -2, -1,0,1,2
O 0,-1, 2, 1,0
0 0,1,2,3,4

Answers

Answer:

0 -2, -1,0,1,2

Step-by-step explanation:

What does a cluster tell you about the data on a scatter plot?

Answers

It can tell you the general pattern or that it is far from the other points in scatter plot.

Answer:

it all depends on where it is if it is in the middle you do not have enough information to determine if it is increasing or decreasing

Step-by-step explanation:

The results of a survey of 150 students about whether they
own an electronic tablet or a laptop are shown in the two-way
frequency table.

Answers

Answer:

its either quantitive data ( numerical measurements) or categorical data (cannot be expressed using numbers)

Two way frequency table: Pairs categorical values to list frequencies  

Step-by-step explanation:

For example: One hundred students were surveyed about which beverage they chose at lunch. Some of the results are shown in the two-way frrequency table below.

Lunch Bevarage

genders               Juice.           Milk.         Water.     Total

Girl :                     10                  13              17            40

Boy:                     15                  24             21            60

Total:                   25                 37             38      =    100

PLZ SOLVE I WILL GIVE BRAINLESET

Answers

Answer:

LB=12ft

Step-by-step explanation:

2 * 2 * 4 * 5 * 6 * 2 * 2 * 5 * 7 * 5 = ? will mark brainliest!

Answers

Answer:

336,000

Step-by-step explanation:

2 × 2 = 4 x 4 = 16 × 5 = 80 × 6 = 480 x 2 = 960 x 2 = 1920 × 5 = 9600 x 7 = 62700 × 5 = 336,000

LIM w→(-4) ((sin (pie*w)) /w^2-16)
No answer needed!

Answers

Answer: yes

Step-by-step explanation:

someone help me with this

Answers

Answer:

-30 is the right one if u need help tell me ;)-

Step-by-step explanation:

:)

PLZ HELP ME! 1ST GETS BRAINIEST! THIS IS DUE TODAY!
Pretend a classmate missed the lesson today. What would you tell them about how to make a table to represent a rate? How would you tell them how to use the table to make a graph?

Answers

Answer:

You would tell them by labeling the x and y and the titles of the graph and what corresponds to it

Step-by-step explanation:

The money used in poland is called the zlotych. the exchange rate is 3 zlotych for would $1. find how many zlotych you would receive if you exchanged $3
find the whole number

Answers

Answer:

You would receive 9$

Step-by-step explanation:

if you multiply 3 by 3, then you will get 9

George invited 65 students in his school to volunteer at a charity race. 39 of the students signed up to volunteer. What percent of the invited students signed up?

Answers

Answer:

60%

Step-by-step explanation:

39/65 gives you the answer.

Find the area of a circle with a diameter of 6 cm

Answers

In terms of pi, 9pi.
Otherwise it would be 28.2735
The equation is pi r^2 so the radius is 3 and you just plug it in.

please help

Solve |6k + 12| + 9 = 9 for k

Answers

Answer:

k = -1/2

Step-by-step explanation:

|6k + 12| + 9 =9

6k + 12 = 9-9

6k + 12 = 0

6k = -12

k = -1/2

Ethan has saved $180 to buy a bicycle which costs $540. He wants to find how much more he needs to save to buy the bicycle
Which equation when solved would show Ethan the amount of money he needs to save?

Answers

Answer:

X = 360

Step-by-step explanation:

180 + x = 540

-180 = -180

Answer:

540-180=360

Step-by-step explanation:

Why? Because he has 180, he need 540. There is 360 in between, which is the money he needs.

Hope this is the right equation.

"Nine more than three times a number is negative six"

what is the answer?​

Answers

I'm sorry I have No clue

Step-by-step explanation:

lol but I honestly d0n7 kno

(16) In 2008, the number tourists visiting France was 7.94 x 1017. The
number of tourists visiting Italy was 4.27 x 10^7. Find the difference in the
number of visitors

Answers

Answer:

3.67 × 10^7

Step-by-step explanation:

Number of tourists visiting France = 7.94 × 10^7Number of tourists visiting Italy = 4.27 × 10^7

The difference:

7.94 × 10^7 - 4.27 × 10^7 =(7.94 - 4.27) × 10^7 =3.67 × 10^7 more visitors in France

3 inches
1.5 inches
1.5 inches

Answers

Answer:

6 inches

Step-by-step explanation:

help please don’t know!

Answers

Answer:

2

Step-by-step explanation:

3v+4=8v-6

4=5v-6

5v=10

v=2

A poll asked 325 people whether they would support a certain amendment to the state constitution. 58% of people said they would.

Write a 95% confidence statement.

Answers

188 people said they would and 136 people said they wouldn’t.

Which situation represents a proportional relationship?
А.
The cost of purchasing t-shirts for $5.80 each.
B
The cost of purchasing belts for $11.00 each with a delivery charge of $3.50.
С.
The cost of purchasing a box of socks for $1.75 per sock plus $2.15 for the box.
D
The cost of purchasing pants for $21.50 each with a coupon for $3.25 off the total cost.

Answers

Answer:

С.

Step-by-step explanation:

From the options provided the only one that represents a proportional relationship was The cost of purchasing a box of socks for $1.75 per sock plus $2.15 for the box. This is because the total cost of the boxes depends on the number of socks that are bought since every pair of socks that are bought comes with a box which causes the total costs of the boxes to increase. Therefore, the number of sock pairs and the number of boxes has a proportional relationship.

what is 9 + 10? hi my name is andy. i have a dad who works on this website and i want to prank him

Answers

Answer:

19.

How do you want to prank him?

Step-by-step explanation:

Answer: 19

Step-by-step explanation: 9+10 is equal to 19. (I get the joke but I don't want to get flagged)

What is the value of the expression when a = 5, b = 4 , and c = 6?⁢

4a/2b−c


2

5

9

10

Answers

Step-by-step explanation:

9 +6=15-6=9

so your answer should be 9

mark me brainliest lol

Answer:

now you can say as brainliest to other person :)

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